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Quiz Composition and Inverses of Functions

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Transcript
Page 1: Quiz Composition and Inverses of Functions

©q N2k0O1R2L XK6uVtUa2 USEoyfKtUwBaJrNeD ULHLVCa.t Q kAElplW 8rPingehPtpsu Free6sneorZvPeDd2.B U 5MFaDd1eo owQiOtahS YIZn7fsifnBiJtnem 0AZlTgFePbzrra4 s2k.C Worksheet by Kuta Software LLC

Composition and Inverses of Functions

ID: 1

Name___________________________________

Date________________©u x2x0F1I2k LKouFtvaz zSdoHfMtswXasrxeO oLhLoCA.o v WAelRl7 KrSiegYh3tFsP IrceqsxeYrVvgeedQ.iQuizPerform the indicated operation.

1)

g(

n)

n

h(

n)

nFind (

g

h)(

n)

2)

g(

x)

x

f (

x)

x

xFind (

g

f )(

x)

3)

h(

x)

x

g(

x)

x

xFind (

h

g)(

x)

4)

f (

a)

a

g(

a)

a

aFind (

f

g)(

a)

5)

f (

x)

x

g(

x)

x

x

Find (

f

g)(

x)

6)

g(

a)

a

h(

a)

aFind (

g

h)(

a)

7)

g(

x)

x

h(

x)

xFind (

g

h)()

8)

h(

t)

t

g(

t)

tFind (

h

g)()

State if the given functions are inverses.

9)

f (

x)

x

g(

x)

x10)

h(

x)

x

f (

x)

x

Find the inverse of each function.

11)

g(

x)

x

12)

f (

x)

x

13)

f (

x)

(

x) 14)

g(

x)

x

15)

f (

x)

x

Page 2: Quiz Composition and Inverses of Functions

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Answers to Quiz (ID: 1)1)

n 2)

x

x 3)

x

x4)

a

a 5)

x

x 6)

a7) 8) 9) No10) No

11)

g(

x)

x 12)

f (

x)

x

13)

f (

x)

x

14)

g(

x)

x

15)

f (

x)

x

Page 3: Quiz Composition and Inverses of Functions

©T m2v061t23 OKmuqtsaP lS0oifmtswCa2rReq hLKLoCv.j p kAVl1lo VrkitgohUtPsc LrVersdeBrYvSe5dn.U l AMiawd6ex hwziVtGhg DISnFfWi3nSi7tbeY VARlAggegb9rRai B2s.B Worksheet by Kuta Software LLC

Composition and Inverses of Functions

ID: 2

Name___________________________________

Date________________©D r2X031G2r qK2uCtnaK QSGoafatewEaFrGeC zLNLSCK.G T 9A5lelh SrfifgQhgtPsU frEe2see2rjvVePdK.NQuizPerform the indicated operation.

1)

f (

n)

n

g(

n)

n

nFind (

f

g)(

n)

2)

h(

x)

x

g(

x)

xFind (

h

g)(

x)

3)

g(

x)

x

f (

x)

xFind (

g

f )(

x)

4)

g(

a)

a

h(

a)

a

a

aFind (

g

h)(

a)

5)

h(

x)

x

g(

x)

xFind (

h

g)(

x)

6)

f (

n)

n

g(

n)

nFind (

f

g)(

n)

7)

h(

t)

t

t

g(

t)

tFind (

h

g)()

8)

g(

a)

a

h(

a)

aFind (

g

h)()

State if the given functions are inverses.

9)

g(

x)

(

x)

f (

x)

x 10)

f (

x)

(

x)

g(

x)

x

Find the inverse of each function.

11)

f (

x)

x 12)

g(

x)

x

13)

g(

x)

x 14)

g(

x)

(

x)

15)

h(

x)

x

Page 4: Quiz Composition and Inverses of Functions

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Answers to Quiz (ID: 2)1)

n

n 2)

x 3)

x4)

a

a

a 5)

x

x

x 6)

n7) 8) 9) Yes10) No 11)

f (

x)

x 12)

g(

x)

x

13)

g(

x)

x 14)

g(

x)

x 15)

h(

x)

x

Page 5: Quiz Composition and Inverses of Functions

©a N2H041D25 gKnuatZak dS7ovfutewGamrTeD KLuLkCq.1 E IAQlhl1 jr6iLgFh0tlsT Or4e6syeerpvpekdt.U t LMiabdXey qwbiitrhF UI2n1fTiJnOi7tueN UAnlegdeLbNrcau 12Y.4 Worksheet by Kuta Software LLC

Composition and Inverses of Functions

ID: 3

Name___________________________________

Date________________©F O2t0g122j FKVuDtUaG 6ShocfUtNwCakrceX sL7L6CV.X F IAwlKl9 ur8irgwhztUs2 yrAe7seeHrEvOeUd7.AQuizPerform the indicated operation.

1)

h(

x)

x

x

g(

x)

xFind (

h

g)(

x)

2)

g(

a)

a

h(

a)

aFind (

g

h)(

a)

3)

g(

n)

n

h(

n)

n

nFind (

g

h)(

n)

4)

g(

x)

x

h(

x)

xFind (

g

h)(

x)

5)

f (

x)

x

g(

x)

xFind (

f

g)(

x)

6)

f (

n)

n

g(

n)

nFind (

f

g)(

n)

7)

f (

n)

n

n

g(

n)

nFind (

f

g)()

8)

g(

n)

n

h(

n)

n

nFind (

g

h)()

State if the given functions are inverses.

9)

f (

x)

x

g(

x)

x

10)

f (

x)

x

h(

x)

x

Find the inverse of each function.

11)

f (

x)

x12)

g(

x)

x

13)

f (

x)

x 14)

f (

x)

x

15)

f (

x)

x

Page 6: Quiz Composition and Inverses of Functions

©m E2Q0G1K2e RK0ubtFaP QSMoJfktJwaaSr9eB jLBLBCI.m D NAslxlh arFiWgxhftVsm drxe2smehryvUeRdf.b x eMhaYdies WwliVt6hz DIYnqf6iHnKiWtCef vAHlNgye1b2rlap k27.0 Worksheet by Kuta Software LLC

Answers to Quiz (ID: 3)1)

x

x 2)

a 3)

n

n4)

x 5)

x

x 6)

n7) 8) 9) Yes10) No

11)

f (

x)

x

12)

g(

x)

x

13)

f (

x)

(

x) 14)

f (

x)

x

15)

f (

x)

x

Page 7: Quiz Composition and Inverses of Functions

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Composition and Inverses of Functions

ID: 4

Name___________________________________

Date________________©P K2P0b1b27 qK9udt4aE 2SIotfPtzwnabrSeI ALpLiCO.0 g 9AClclM 5rwi7gAhbtzsm IruecsTeqrvvTefdT.YQuizPerform the indicated operation.

1)

g(

n)

n

h(

n)

n

nFind (

g

h)(

n)

2)

f (

x)

x

g(

x)

x

xFind (

f

g)(

x)

3)

g(

n)

n

f (

n)

nFind (

g

f )(

n)

4)

g(

t)

t

h(

t)

tFind (

g

h)(

t)

5)

f (

n)

n

g(

n)

n

Find (

f

g)(

n)

6)

f (

a)

a

g(

a)

a

a

Find (

f

g)(

a)

7)

h(

a)

a

g(

a)

aFind (

h

g)()

8)

f (

t)

t

g(

t)

tFind (

f

g)()

State if the given functions are inverses.

9)

g(

x)

x

f (

x)

x 10)

g(

x)

x

f (

x)

x

Find the inverse of each function.

11)

f (

x)

x

12)

h(

x)

x

13)

h(

x)

x 14)

f (

x)

x

15)

h(

x)

x

Page 8: Quiz Composition and Inverses of Functions

©T c2K0W1d2P EKouKttad pScoRfptzwgaPrweE YL6LUCg.Y G xAAlRlM KrniMgWhMtys7 trLeYsUeIrdvzebdK.I H dMCacdTe0 CwdiQtNhd wIynufmiBnsi2tSe3 8AYl0gteYb7rfaf d2K.S Worksheet by Kuta Software LLC

Answers to Quiz (ID: 4)1)

n

n 2)

x

x 3)

n

n

n4)

t 5)

n 6)

a

a7) 8) 9) Yes10) No 11)

f (

x)

x 12)

h(

x)

x

13)

h(

x)

x 14)

f (

x)

x 15)

h(

x)

x

Page 9: Quiz Composition and Inverses of Functions

©C v2t0P1t23 tKnuatTaZ tSlopfvtqwXaLrUe5 4LpLrCL.9 o YABlQlx erriXgLhOtcsy OrKerspearpvDeAdg.o D 8M1aIdjeO ywQiGtHhC HI9n5fsiKnciutJe2 uAhlegJemberMan Q2X.F Worksheet by Kuta Software LLC

Composition and Inverses of Functions

ID: 5

Name___________________________________

Date________________©v 62Y0b1z25 ZK3u7tVae CSCoQfstVwgayrBet 2LDLKCE.t 2 0AOlply 6rHiagBhYtSsM vrveosZeArwvEeuds.bQuizPerform the indicated operation.

1)

f (

x)

x

g(

x)

x

xFind (

f

g)(

x)

2)

h(

x)

x

g(

x)

xFind (

h

g)(

x)

3)

g(

t)

t

h(

t)

tFind (

g

h)(

t)

4)

f (

n)

n

n

g(

n)

nFind (

f

g)(

n)

5)

g(

x)

x

f (

x)

xFind (

g

f )(

x)

6)

g(

n)

n

h(

n)

nFind (

g

h)(

n)

7)

g(

n)

n

h(

n)

nFind (

g

h)()

8)

g(

x)

x

x

h(

x)

xFind (

g

h)()

State if the given functions are inverses.

9)

h(

x)

(

x)

f (

x)

x10)

f (

x)

x

g(

x)

x

Find the inverse of each function.

11)

f (

x)

x

12)

g(

x)

x

13)

g(

x)

x 14)

g(

x)

x

15)

f (

x)

x

Page 10: Quiz Composition and Inverses of Functions

©X V290W162D QKCuHtKaN VShovfVtjwJaSrFeu GLFLiCM.k N HAal1l1 Xr2iMgAh1twsd 6roeFsgezrQvveed7.F n qMmaNdGed ZwiiStTh7 9IBn3fqiqnoiptjeC EAXl9gHebburzaf C2K.b Worksheet by Kuta Software LLC

Answers to Quiz (ID: 5)1)

x

x 2)

x 3)

t4)

n

n 5)

x6)

n

n

n 7) 8) 9) Yes 10) No

11)

f (

x)

x

12)

g(

x)

x 13)

g(

x)

(

x)

14)

g(

x)

x

15)

f (

x)

x

Page 11: Quiz Composition and Inverses of Functions

©4 O240H1F2S LKyutt0am zSNoafZtpwWa1r9eQ DLWLeCp.D F DAwlgl8 5riipghhhtts3 grEeEsqeLrAvkemdp.Z q oMXaCdMeM vwqiqtPhj UIwnrfwiQn4iXtmey PAqlCgTehbZrwae 22C.A Worksheet by Kuta Software LLC

Composition and Inverses of Functions

ID: 6

Name___________________________________

Date________________©r X2d0g1X2G fKeu3t4aV qShohfWtfwUaFr3ey 1LqLlCQ.Y 5 SAllLlh ireizgHhytFsC hr3eksxeEr6v3eLdH.7QuizPerform the indicated operation.

1)

g(

n)

n

f (

n)

nFind (

g

f )(

n)

2)

g(

x)

x

h(

x)

xFind (

g

h)(

x)

3)

g(

x)

x

h(

x)

x

xFind (

g

h)(

x)

4)

g(

n)

n

h(

n)

nFind (

g

h)(

n)

5)

g(

x)

x

f (

x)

x

xFind (

g

f )(

x)

6)

g(

n)

n

h(

n)

nFind (

g

h)(

n)

7)

g(

x)

x

h(

x)

xFind (

g

h)()

8)

h(

x)

x

g(

x)

xFind (

h

g)()

State if the given functions are inverses.

9)

f (

x)

x

g(

x)

x

10)

g(

x)

x

f (

x)

x

Find the inverse of each function.

11)

h(

x)

x12)

h(

x)

x

13)

g(

x)

(

x)14)

f (

x)

x

15)

g(

x)

x

Page 12: Quiz Composition and Inverses of Functions

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Answers to Quiz (ID: 6)1)

n 2)

x 3)

x

x4)

n 5)

x

x 6)

n7) 8) 9) Yes10) No

11)

h(

x)

x

12)

h(

x)

x

13)

g(

x)

x 14)

f (

x)

x 15)

g(

x)

x

Page 13: Quiz Composition and Inverses of Functions

©Q W2l0H1A2P LKjuAtraN 3StoRfutRwSaVrXeF xL9LXCO.m Y GAzlBlC qrpicgvhetnsx 6reetsyeCr8vheKdg.k K XMnaQdSel sw9iitPhh LIJn6fHignaiVtae6 WAXl8gTekb6rSaX E2V.F Worksheet by Kuta Software LLC

Composition and Inverses of Functions

ID: 7

Name___________________________________

Date________________©4 p2S0b1K2m gKwuUtsad HStoCf7tuwha3riej PLPL6Ca.P j pAhlZl5 hrOiIgHhktNsS argeJsbe0rVvae7d0.NQuizPerform the indicated operation.

1)

g(

x)

x

f (

x)

xFind (

g

f )(

x)

2)

f (

n)

n

g(

n)

nFind (

f

g)(

n)

3)

f (

a)

a

g(

a)

aFind (

f

g)(

a)

4)

h(

x)

x

g(

x)

x

xFind (

h

g)(

x)

5)

g(

t)

t

h(

t)

tFind (

g

h)(

t)

6)

f (

n)

n

g(

n)

nFind (

f

g)(

n)

7)

f (

n)

n

g(

n)

nFind (

f

g)()

8)

g(

a)

a

f (

a)

aFind (

g

f )()

State if the given functions are inverses.

9)

g(

x)

x

f (

x)

x

10)

g(

x)

x

f (

x)

x

Find the inverse of each function.

11)

g(

x)

x 12)

g(

x)

x

13)

f (

x)

x

14)

g(

x)

x

15)

f (

x)

x

Page 14: Quiz Composition and Inverses of Functions

©D 62T0t1w2o eKyuKtoaX 4SFoxfNtkwQavroe0 RLuL9Cq.T O dAglMlv 0rZiKgAhvtCst RrEevsmeirMvDeqdZ.f h JMwaRdve7 UwoiBtEhR SIynhf5itnfiJt4ee PAZljgNeRbSrzai a26.N Worksheet by Kuta Software LLC

Answers to Quiz (ID: 7)1)

x 2)

n 3)

a4)

x

x 5)

t 6)

n7) 8) 9) No10) Yes

11)

g(

x)

x

12)

g(

x)

x

13)

f (

x)

x 14)

g(

x)

x 15)

f (

x)

x

Page 15: Quiz Composition and Inverses of Functions

©x R200Q1Y2B rK9uytwaG KS2o4f4t9wTavraea BLNLsCe.u Z WAHl7lS arriygTh2tfsG CrweAsLeKryvwe1dZ.G s 9MeaSdyez nwmittlhc LIgnCfIiVnni0tQea AAulQgOeAbprkaY F2P.k Worksheet by Kuta Software LLC

Composition and Inverses of Functions

ID: 8

Name___________________________________

Date________________©b x2l0b1p2H kKRuutzaP nSroEfjtewUavrGer RLMLqCn.f A kAKldlX orWiGgFhAtCsw OrTevsjeorWvfenda.NQuizPerform the indicated operation.

1)

g(

x)

x

f (

x)

xFind (

g

f )(

x)

2)

h(

x)

x

g(

x)

x

xFind (

h

g)(

x)

3)

g(

a)

a

a

h(

a)

aFind (

g

h)(

a)

4)

g(

x)

x

x

h(

x)

xFind (

g

h)(

x)

5)

g(

t)

t

f (

t)

tFind (

g

f )(

t)

6)

f (

t)

t

t

g(

t)

tFind (

f

g)(

t)

7)

g(

t)

t

f (

t)

tFind (

g

f )()

8)

g(

a)

a

f (

a)

a

a

Find (

g

f )()

State if the given functions are inverses.

9)

f (

x)

(

x)

g(

x)

x 10)

g(

x)

x

f (

x)

(

x)

Find the inverse of each function.

11)

g(

x)

x 12)

g(

x)

x

13)

g(

x)

(

x) 14)

g(

x)

x

15)

f (

x)

x

Page 16: Quiz Composition and Inverses of Functions

©b V2Q0w1w2h SKTuBtKaV CSwoQfNtxwuaMrHe8 TLOLNCy.l d NAKl8lM QrDiGgnhqt6sX Rr8ebsKefrpvUeddI.Q Y uM8akdoes 6wii7tMhE 3I3nUf5irnbiAtDeJ 8Aelmgye0bnrdaQ 12x.T Worksheet by Kuta Software LLC

Answers to Quiz (ID: 8)1)

x 2)

x

x 3)

a

a

a4)

x

x 5)

t 6)

t

t7) 8) 9) Yes10) No

11)

g(

x)

x 12)

g(

x)

x

13)

g(

x)

x

14)

g(

x)

x 15)

f (

x)

x

Page 17: Quiz Composition and Inverses of Functions

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Composition and Inverses of Functions

ID: 9

Name___________________________________

Date________________©f 9270g1r2v kKtuCtRaL JSEo5fqtIwZagrse8 PLWLqCr.P 8 KAkl1lR TrEiag3hKtXsb Hr0etsie1rTvOehdP.fQuizPerform the indicated operation.

1)

g(

n)

n

n

f (

n)

nFind (

g

f )(

n)

2)

g(

a)

a

h(

a)

aFind (

g

h)(

a)

3)

g(

n)

n

f (

n)

nFind (

g

f )(

n)

4)

g(

t)

t

f (

t)

tFind (

g

f )(

t)

5)

g(

a)

a

f (

a)

a

aFind (

g

f )(

a)

6)

g(

x)

x

f (

x)

xFind (

g

f )(

x)

7)

h(

n)

n

g(

n)

nFind (

h

g)()

8)

g(

x)

x

f (

x)

xFind (

g

f )()

State if the given functions are inverses.

9)

h(

x)

x

f (

x)

x

10)

g(

x)

x

f (

x)

x

Find the inverse of each function.

11)

f (

x)

x12)

f (

x)

x

13)

g(

x)

x 14)

h(

x)

(

x)

15)

g(

x)

x

Page 18: Quiz Composition and Inverses of Functions

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Answers to Quiz (ID: 9)1)

n

n 2)

a 3)

n4)

t 5)

a

a 6)

x7) 8) 9) No10) Yes 11)

f (

x)

x 12)

f (

x)

x

13)

g(

x)

x 14)

h(

x)

x 15)

g(

x)

x

Page 19: Quiz Composition and Inverses of Functions

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Composition and Inverses of Functions

ID: 10

Name___________________________________

Date________________©f n2D0w1n28 KKju0tVaL GSJocfctkwoazrYef uLmLyCy.L 7 sA3lrlR YrliVgEh8tms4 erYepsRe3rCvUe7dS.1QuizPerform the indicated operation.

1)

f (

t)

t

t

g(

t)

tFind (

f

g)(

t)

2)

h(

a)

a

g(

a)

aFind (

h

g)(

a)

3)

h(

x)

x

g(

x)

xFind (

h

g)(

x)

4)

g(

x)

x

h(

x)

x

xFind (

g

h)(

x)

5)

g(

x)

x

h(

x)

xFind (

g

h)(

x)

6)

g(

x)

x

x

h(

x)

xFind (

g

h)(

x)

7)

f (

x)

x

g(

x)

xFind (

f

g)()

8)

g(

a)

a

f (

a)

aFind (

g

f )()

State if the given functions are inverses.

9)

h(

x)

x

f (

x)

x

10)

g(

x)

x

f (

x)

x

Find the inverse of each function.

11)

g(

x)

x12)

f (

x)

x

13)

g(

x)

x

14)

f (

x)

x

15)

f (

x)

x

Page 20: Quiz Composition and Inverses of Functions

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Answers to Quiz (ID: 10)1)

t

t

t 2)

a 3)

x4)

x

x 5)

x 6)

x

x7) 8) 9) Yes10) No 11)

g(

x)

x 12)

f (

x)

x13)

g(

x)

x 14)

f (

x)

x 15)

f (

x)

x

Page 21: Quiz Composition and Inverses of Functions

©b H2K0O1I2T cKJu3tGaO VSRozfatowsaZr8e3 OLmLCCB.p t JAUlKlh Irxi4gVhrt3sO krue3soe5rav5e6dx.f 0 yMoawdSe2 FwQirtdhv IINnwfqiInmi6tKeK zAXlLgjeFbYria1 d2w.8 Worksheet by Kuta Software LLC

Composition and Inverses of Functions

ID: 11

Name___________________________________

Date________________©L x2c09152W iKauPtXam 2SRoIfEtMwiaer4eU BLjL4C6.3 b BA3lFl3 4rGiwgIhktIs6 qrbe6sZeGr2vMeDdS.yQuizPerform the indicated operation.

1)

h(

n)

n

g(

n)

n

nFind (

h

g)(

n)

2)

g(

x)

x

h(

x)

x

xFind (

g

h)(

x)

3)

g(

x)

x

h(

x)

xFind (

g

h)(

x)

4)

g(

n)

n

h(

n)

n

nFind (

g

h)(

n)

5)

h(

t)

t

g(

t)

tFind (

h

g)(

t)

6)

f (

x)

x

g(

x)

x

x

Find (

f

g)(

x)

7)

g(

n)

n

h(

n)

nFind (

g

h)()

8)

h(

t)

t

g(

t)

tFind (

h

g)()

State if the given functions are inverses.

9)

g(

x)

(

x)

f (

x)

x 10)

g(

x)

x

f (

x)

x

Find the inverse of each function.

11)

f (

x)

x 12)

f (

x)

x

13)

g(

x)

x 14)

g(

x)

x

15)

f (

x)

x

Page 22: Quiz Composition and Inverses of Functions

©d 22z0Z1x2I bKtuVt4a0 LS2oJfktDwAaTr4ex pLNLvCh.l e lAzlmlk 2r6icg6hYtvsF 9rCeusWeTrgvCeidG.j B UMNaRd6eV 4wSiDtsh6 ZIYngfAiun8intdem AAdlOg5eTb1rAaQ A2N.i Worksheet by Kuta Software LLC

Answers to Quiz (ID: 11)1)

n

n 2)

x

x 3)

x4)

n

n 5)

t 6)

x

x7) 8) 9) Yes10) No

11)

f (

x)

x 12)

f (

x)

x

13)

g(

x)

(

x) 14)

g(

x)

(

x) 15)

f (

x)

x

Page 23: Quiz Composition and Inverses of Functions

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Composition and Inverses of Functions

ID: 12

Name___________________________________

Date________________©k E2V0p1S2f VKMu7tMaU hSloZfZtmwjaorSeS hLALoCQ.H Y kAWlllc hrFiJgxh7tBse NrBeYsYenr4vIeIdq.LQuizPerform the indicated operation.

1)

f (

a)

a

g(

a)

aFind (

f

g)(

a)

2)

h(

x)

x

g(

x)

x

xFind (

h

g)(

x)

3)

g(

n)

n

f (

n)

nFind (

g

f )(

n)

4)

f (

x)

x

g(

x)

xFind (

f

g)(

x)

5)

f (

x)

x

g(

x)

x

xFind (

f

g)(

x)

6)

h(

a)

a

g(

a)

aFind (

h

g)(

a)

7)

f (

x)

x

x

x

g(

x)

xFind (

f

g)()

8)

h(

n)

n

n

g(

n)

nFind (

h

g)()

State if the given functions are inverses.

9)

f (

x)

x

g(

x)

x

10)

f (

x)

x

h(

x)

x

Find the inverse of each function.

11)

h(

x)

x

12)

g(

x)

x

13)

g(

x)

(

x)14)

f (

x)

x

15)

g(

x)

x

Page 24: Quiz Composition and Inverses of Functions

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Answers to Quiz (ID: 12)1)

a 2)

x

x 3)

n4)

x 5)

x

x 6)

a7) 8) 9) No10) Yes 11)

h(

x)

x 12)

g(

x)

x

13)

g(

x)

x

14)

f (

x)

x 15)

g(

x)

x

Page 25: Quiz Composition and Inverses of Functions

©B q290g1F29 BKquQtAaE FSpopfCtXwAawrReY FLALXCn.A y uACl5lH 2rZipgXhotGs6 erQeksxeqrKvtefdi.K 8 UMNaYdveg 7w5iYt7h3 1IJn1fliGnfiDt5eD uAjlHg4exbxrxa2 Y2l.l Worksheet by Kuta Software LLC

Composition and Inverses of Functions

ID: 13

Name___________________________________

Date________________©8 k2T0v1r2P fKduWtJae BSLoaf8tYwWaurlef nLLLECu.2 T xAmlplm MrTiVgJh2tNsw lr2eIsCeqrhv8evda.MQuizPerform the indicated operation.

1)

f (

t)

t

g(

t)

tFind (

f

g)(

t)

2)

g(

a)

a

f (

a)

aFind (

g

f )(

a)

3)

f (

n)

n

g(

n)

nFind (

f

g)(

n)

4)

g(

x)

x

f (

x)

x

xFind (

g

f )(

x)

5)

g(

n)

n

h(

n)

nFind (

g

h)(

n)

6)

h(

n)

n

g(

n)

n

nFind (

h

g)(

n)

7)

g(

x)

x

x

f (

x)

xFind (

g

f )()

8)

g(

x)

x

h(

x)

xFind (

g

h)()

State if the given functions are inverses.

9)

g(

x)

x

f (

x)

x

10)

g(

x)

x

f (

x)

x

Find the inverse of each function.

11)

f (

x)

x

12)

f (

x)

x

13)

h(

x)

x 14)

f (

x)

x

15)

f (

x)

x

Page 26: Quiz Composition and Inverses of Functions

©3 32F0Y1N25 fK6uOtfay 9Sko4fstgwwaWrreb NLqLBCE.d X FAYlDlv 9rtiNgshwtfsC GrheJsDeQrCvdeqdL.G v BMJaYdYea MwLiEtyhv wIpnyfVi8nJiHtheh gAFl2gneDbfrJax s2D.b Worksheet by Kuta Software LLC

Answers to Quiz (ID: 13)1)

t 2)

a

a 3)

n4)

x

x 5)

n 6)

n

n7) 8) 9) No10) Yes

11)

f (

x)

x 12)

f (

x)

x

13)

h(

x)

x

14)

f (

x)

x 15)

f (

x)

x

Page 27: Quiz Composition and Inverses of Functions

©o X2L0F1w2V ZKnultZaa 3SEoufItqwsarr7eg RLmLmCe.I J fA9l7lk YrNiagahStYsO prCemsBeOrqvJe5dW.l Y pM6aXdFeA iw8iGtOhS 8IanSfHiCnYiTt9ep sAkltg1eJbVrKaA y2C.2 Worksheet by Kuta Software LLC

Composition and Inverses of Functions

ID: 14

Name___________________________________

Date________________©B k2Z0e1F2F RKIu5tEa3 7SyoKfCtqwlaQrAep WLXLCCB.Y m MAtlcls 4rui1g0hNtNsV orReHsae0rIvleodP.0QuizPerform the indicated operation.

1)

g(

t)

t

t

f (

t)

tFind (

g

f )(

t)

2)

g(

n)

n

h(

n)

n

nFind (

g

h)(

n)

3)

g(

x)

x

f (

x)

xFind (

g

f )(

x)

4)

g(

x)

x

h(

x)

x

x

Find (

g

h)(

x)

5)

g(

x)

x

f (

x)

xFind (

g

f )(

x)

6)

g(

x)

x

h(

x)

xFind (

g

h)(

x)

7)

g(

n)

n

h(

n)

n

nFind (

g

h)()

8)

f (

x)

x

x

g(

x)

xFind (

f

g)()

State if the given functions are inverses.

9)

f (

x)

(

x)

g(

x)

(

x)10)

h(

x)

(

x)

f (

x)

x

Find the inverse of each function.

11)

g(

x)

x 12)

f (

x)

x

13)

g(

x)

x 14)

g(

x)

x

15)

g(

x)

x

Page 28: Quiz Composition and Inverses of Functions

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Answers to Quiz (ID: 14)1)

t

t 2)

n

n 3)

x4)

x

x 5)

x 6)

x7) 8) 9) No10) No

11)

g(

x)

x 12)

f (

x)

x

13)

g(

x)

(

x)14)

g(

x)

x

15)

g(

x)

x

Page 29: Quiz Composition and Inverses of Functions

©t Q2A041u25 BKzubtna4 DSxoJfUt3wuaqrkeq 1LxLnCp.G 0 IAelXlC brBiogvhztRsl JrVeOsNeIrhv0eXdJ.a M SMHaqdRen ow2iVtahj wIvnHfAianmibtzeB KASlJgue6bNr4ah A2X.W Worksheet by Kuta Software LLC

Composition and Inverses of Functions

ID: 15

Name___________________________________

Date________________©o f2H0g1n2C 1KNu3tKay 3S3oIfEt1wEagrZek aL2LTCl.Z 4 kAtlZlN qrmiMg1hkt9s9 or6ewsLe0rYvUewdq.LQuizPerform the indicated operation.

1)

h(

n)

n

n

n

g(

n)

nFind (

h

g)(

n)

2)

g(

x)

x

f (

x)

xFind (

g

f )(

x)

3)

h(

t)

t

g(

t)

tFind (

h

g)(

t)

4)

f (

x)

x

g(

x)

xFind (

f

g)(

x)

5)

h(

x)

x

g(

x)

xFind (

h

g)(

x)

6)

f (

n)

n

g(

n)

nFind (

f

g)(

n)

7)

f (

x)

x

g(

x)

xFind (

f

g)()

8)

g(

t)

t

f (

t)

tFind (

g

f )()

State if the given functions are inverses.

9)

f (

x)

x

g(

x)

x

10)

g(

x)

x

f (

x)

x

Find the inverse of each function.

11)

g(

x)

x

12)

f (

x)

x

13)

g(

x)

x 14)

g(

x)

x

15)

g(

x)

x

Page 30: Quiz Composition and Inverses of Functions

©6 f2a0m172M gKluitUaT wSboSfMtrwmairIey xLPL7CX.e O oA4l9lG VrIipgnhptQsW 2rfepsJe3rKv0e0dw.w M GMNaXdFei 3wuiytXhF 6IUnbfViinTiptLeo YAXlBg4etb6rzaP h20.x Worksheet by Kuta Software LLC

Answers to Quiz (ID: 15)1)

n

n

n 2)

x3)

t 4)

x 5)

x6)

n 7) 8) 9) No 10) Yes 11)

g(

x)

x

12)

f (

x)

x

13)

g(

x)

(

x) 14)

g(

x)

x

15)

g(

x)

x

Page 31: Quiz Composition and Inverses of Functions

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Composition and Inverses of Functions

ID: 16

Name___________________________________

Date________________©4 e2Q0Z1A2j RKmujtxaf SScoqfQtswjaerSe7 TLXL0CA.N N LA2lhlO DrdihgehDtts1 erueNs8enryv9e4dq.6QuizPerform the indicated operation.

1)

g(

a)

a

h(

a)

a

a

Find (

g

h)(

a)

2)

f (

a)

a

g(

a)

a

aFind (

f

g)(

a)

3)

g(

a)

a

h(

a)

aFind (

g

h)(

a)

4)

f (

x)

x

g(

x)

xFind (

f

g)(

x)

5)

h(

n)

n

g(

n)

nFind (

h

g)(

n)

6)

g(

x)

x

f (

x)

xFind (

g

f )(

x)

7)

g(

x)

x

f (

x)

xFind (

g

f )()

8)

g(

x)

x

f (

x)

xFind (

g

f )()

State if the given functions are inverses.

9)

f (

x)

x

h(

x)

x 10)

g(

x)

x

f (

x)

x

Find the inverse of each function.

11)

f (

x)

x12)

g(

x)

x

13)

g(

x)

x 14)

g(

x)

x

15)

f (

x)

x

Page 32: Quiz Composition and Inverses of Functions

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Answers to Quiz (ID: 16)1)

a

a 2)

a

a 3)

a4)

x 5)

n

n 6)

x

7) 8) 9) Yes10) No

11)

f (

x)

x

12)

g(

x)

x

13)

g(

x)

x

14)

g(

x)

x 15)

f (

x)

x

Page 33: Quiz Composition and Inverses of Functions

©Y f26051z2q nK9uqtUaJ JSxoJfGtuwYaGrZeV 8LnLUCc.U 2 HAKlmlD HrPiPgJhotIs4 oryeksfe2rzvVeLdo.g 4 wMEasdwe7 gwaiqtuha PITnjfmiRnviUtYeT PAelog3eNbUrrae S2N.X Worksheet by Kuta Software LLC

Composition and Inverses of Functions

ID: 17

Name___________________________________

Date________________©N x200p1o2Y sKau6tua7 sSmo3fCtswfaqrKe5 lLiL8Cg.U z CAClNlP vrpihg7hYtrsQ 5rpeYsKeVrPv2e1db.0QuizPerform the indicated operation.

1)

g(

x)

x

h(

x)

xFind (

g

h)(

x)

2)

g(

a)

a

h(

a)

aFind (

g

h)(

a)

3)

g(

n)

n

h(

n)

nFind (

g

h)(

n)

4)

g(

n)

n

f (

n)

n

nFind (

g

f )(

n)

5)

g(

t)

t

h(

t)

t

t

Find (

g

h)(

t)

6)

g(

n)

n

h(

n)

n

nFind (

g

h)(

n)

7)

h(

n)

n

g(

n)

nFind (

h

g)()

8)

g(

a)

a

a

h(

a)

aFind (

g

h)()

State if the given functions are inverses.

9)

g(

x)

x

f (

x)

(

x)

10)

g(

x)

x

f (

x)

(

x)

Find the inverse of each function.

11)

g(

x)

x 12)

h(

x)

x

13)

f (

x)

(

x) 14)

f (

x)

x

15)

g(

x)

x

Page 34: Quiz Composition and Inverses of Functions

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Answers to Quiz (ID: 17)1)

x

x 2)

a

a

a3)

n 4)

n

n 5)

t

t

6)

n

n 7) 8) 9) Yes 10) Yes

11)

g(

x)

x

12)

h(

x)

x 13)

f (

x)

x 14)

f (

x)

(

x)

15)

g(

x)

x

Page 35: Quiz Composition and Inverses of Functions

©x w2I0q1b28 jKru0t9a9 6SUoqfDtkwmaRrZed ZLYLICw.P 0 aAilSly 9rQi2gYhyt0sb FrreOsCerrbvBeFdL.e D IM0aYd8ek 8wCibt9ht DIznEfUi0n1iZtdeW XADlogZeBbprwak M2h.M Worksheet by Kuta Software LLC

Composition and Inverses of Functions

ID: 18

Name___________________________________

Date________________©o T2r0z1c2N eKDuKtGam VScoRfPt8wWaRrDec IL3LYCL.l j QA4lal3 JrdiAgkhmt6s9 irPe4sMe8rjvpepde.nQuizPerform the indicated operation.

1)

f (

t)

t

g(

t)

tFind (

f

g)(

t)

2)

h(

t)

t

g(

t)

tFind (

h

g)(

t)

3)

g(

n)

n

n

h(

n)

nFind (

g

h)(

n)

4)

f (

x)

x

g(

x)

xFind (

f

g)(

x)

5)

f (

x)

x

g(

x)

x

xFind (

f

g)(

x)

6)

g(

a)

a

h(

a)

aFind (

g

h)(

a)

7)

f (

n)

n

g(

n)

nFind (

f

g)()

8)

g(

x)

x

h(

x)

xFind (

g

h)()

State if the given functions are inverses.

9)

f (

x)

x

g(

x)

x

10)

h(

x)

x

f (

x)

x

Find the inverse of each function.

11)

h(

x)

x 12)

f (

x)

x

13)

f (

x)

x 14)

f (

x)

x

15)

g(

x)

x

Page 36: Quiz Composition and Inverses of Functions

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Answers to Quiz (ID: 18)1)

t 2)

t 3)

n

n

n4)

x 5)

x

x 6)

a

a7) 8) 9) Yes10) No 11)

h(

x)

x 12)

f (

x)

x13)

f (

x)

(

x) 14)

f (

x)

x 15)

g(

x)

x

Page 37: Quiz Composition and Inverses of Functions

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Composition and Inverses of Functions

ID: 19

Name___________________________________

Date________________©8 n26031R25 AKKu7t2aP USao2fptEwgaMrZe3 XLWLTCK.p j CAplOlb 2rFipgKh7tlsV MrIeCsAeorZv0eFdO.NQuizPerform the indicated operation.

1)

g(

x)

x

f (

x)

xFind (

g

f )(

x)

2)

g(

t)

t

f (

t)

t

t

tFind (

g

f )(

t)

3)

f (

t)

t

g(

t)

tFind (

f

g)(

t)

4)

g(

x)

x

h(

x)

x

x

Find (

g

h)(

x)

5)

f (

t)

t

t

g(

t)

tFind (

f

g)(

t)

6)

h(

x)

x

g(

x)

xFind (

h

g)(

x)

7)

g(

t)

t

f (

t)

tFind (

g

f )()

8)

f (

n)

n

g(

n)

n

nFind (

f

g)()

State if the given functions are inverses.

9)

g(

x)

x

f (

x)

x

10)

g(

x)

x

f (

x)

x

Find the inverse of each function.

11)

f (

x)

x12)

f (

x)

x

13)

g(

x)

x 14)

f (

x)

x

15)

f (

x)

x

Page 38: Quiz Composition and Inverses of Functions

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Answers to Quiz (ID: 19)1)

x

x 2)

t

t

t 3)

t

t4)

x

x 5)

t

t 6)

x7) 8) 9) Yes10) No

11)

f (

x)

x

12)

f (

x)

x

13)

g(

x)

x

14)

f (

x)

x 15)

f (

x)

x

Page 39: Quiz Composition and Inverses of Functions

©w u2z0F1C2N UKYuCt9as 0SPoBfCtfwKacrve9 sLnL3CG.N n wAClSlu 5rNi5gahlt5s7 brDeTsEeor6vje2dT.X 6 GM3aLdBe0 GwFi0tUhr DIOnwfziRnWidt9eX 6A8lDgeezbBrpa3 V2G.x Worksheet by Kuta Software LLC

Composition and Inverses of Functions

ID: 20

Name___________________________________

Date________________©A V2R0w1w2p jK9uRtFaO rS3o4fVtfwIa7r0ep KLLLECh.W b yAulYlr 4rAi0gwh4tXsp mrIeXsmearxvRe1ds.wQuizPerform the indicated operation.

1)

g(

x)

x

h(

x)

xFind (

g

h)(

x)

2)

f (

n)

n

g(

n)

nFind (

f

g)(

n)

3)

g(

n)

n

h(

n)

nFind (

g

h)(

n)

4)

h(

x)

x

g(

x)

x

xFind (

h

g)(

x)

5)

g(

x)

x

x

h(

x)

xFind (

g

h)(

x)

6)

g(

x)

x

h(

x)

xFind (

g

h)(

x)

7)

f (

n)

n

g(

n)

nFind (

f

g)()

8)

g(

n)

n

f (

n)

nFind (

g

f )()

State if the given functions are inverses.

9)

f (

x)

x

h(

x)

x

10)

g(

x)

(

x)

f (

x)

x

Find the inverse of each function.

11)

h(

x)

x12)

f (

x)

x

13)

f (

x)

x 14)

f (

x)

x

15)

f (

x)

x

Page 40: Quiz Composition and Inverses of Functions

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Answers to Quiz (ID: 20)1)

x 2)

n 3)

n4)

x

x 5)

x

x 6)

x7) 8) 9) No10) Yes 11)

h(

x)

x 12)

f (

x)

x

13)

f (

x)

x

14)

f (

x)

x 15)

f (

x)

x

Page 41: Quiz Composition and Inverses of Functions

©n A2F0E1Q2P 5KCugt7ag bSrozf2tawTacrAeF NLsL1CY.T b CACl1l2 groiPgLhItZsq urSeksyeQrZvoeKd9.2 S AMgaNd5ev 9wUiStDhy yIinNfMiZnEixt9e0 eAolcg5eib0rLaC D21.l Worksheet by Kuta Software LLC

Composition and Inverses of Functions

ID: 21

Name___________________________________

Date________________©f p280f1W2P 8Kmu3tzad BSJoXfUt5wYafrpeu NL9LxCB.O O QAPlNlS lrmikgBh9tTsj frgeTsbezrLv3e5dq.1QuizPerform the indicated operation.

1)

h(

a)

a

g(

a)

a

a

Find (

h

g)(

a)

2)

g(

n)

n

h(

n)

n

nFind (

g

h)(

n)

3)

g(

n)

n

h(

n)

nFind (

g

h)(

n)

4)

g(

x)

x

h(

x)

xFind (

g

h)(

x)

5)

g(

a)

a

h(

a)

aFind (

g

h)(

a)

6)

g(

a)

a

h(

a)

aFind (

g

h)(

a)

7)

h(

x)

x

g(

x)

x

xFind (

h

g)()

8)

g(

x)

x

h(

x)

xFind (

g

h)()

State if the given functions are inverses.

9)

f (

x)

x

g(

x)

x

10)

g(

x)

x

f (

x)

x

Find the inverse of each function.

11)

g(

x)

x

12)

g(

x)

x

13)

g(

x)

(

x) 14)

g(

x)

x

15)

g(

x)

x

Page 42: Quiz Composition and Inverses of Functions

©0 F2s0h1B2R aKiu7tSa6 6S3oKfitww7awrce4 uLBLPCA.k a KANl9lv GrpingdhVtHsh TrPe7sZeOrcvFeUd5.7 i RMnaidHeT YwHiStshF SIxn8fQiNnTiOtZeg 8All0gieybFria8 f2X.Q Worksheet by Kuta Software LLC

Answers to Quiz (ID: 21)1)

a

a 2)

n

n 3)

n

n4)

x 5)

a

a

a 6)

a7) 8) 9) No10) Yes 11)

g(

x)

x 12)

g(

x)

x

13)

g(

x)

x

14)

g(

x)

x 15)

g(

x)

x

Page 43: Quiz Composition and Inverses of Functions

©O T2v0r1C2x nKjuEtlas fSooNfetmwcazrmeQ RL0LtCG.s t sAhl8l8 7rzitgohGt1ss Cr8ems3eorJvTe9do.g l GMga0dBeS NweiftjhH MIjn8fliInyipt3em cAblbgieFbWrdaK h2J.V Worksheet by Kuta Software LLC

Composition and Inverses of Functions

ID: 22

Name___________________________________

Date________________©n V200N1z2Z QKLuStlap HSNo8fRtywiaHrWex aLGLuCq.r Z GAglMlh DrUiAg7hHtAsx crNess0eorCvrehdT.vQuizPerform the indicated operation.

1)

h(

x)

x

g(

x)

x

xFind (

h

g)(

x)

2)

h(

x)

x

x

g(

x)

xFind (

h

g)(

x)

3)

g(

t)

t

f (

t)

tFind (

g

f )(

t)

4)

g(

x)

x

f (

x)

xFind (

g

f )(

x)

5)

f (

a)

a

g(

a)

aFind (

f

g)(

a)

6)

f (

x)

x

x

g(

x)

xFind (

f

g)(

x)

7)

g(

x)

x

f (

x)

xFind (

g

f )()

8)

f (

a)

a

g(

a)

aFind (

f

g)()

State if the given functions are inverses.

9)

f (

x)

x

g(

x)

x

10)

h(

x)

x

f (

x)

x

Find the inverse of each function.

11)

f (

x)

x12)

g(

x)

x

13)

g(

x)

x

14)

g(

x)

x

15)

f (

x)

x

Page 44: Quiz Composition and Inverses of Functions

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Answers to Quiz (ID: 22)1)

x

x 2)

x

x

x3)

t 4)

x

x 5)

a

a6)

x

x

x 7) 8) 9) Yes 10) No

11)

f (

x)

x

12)

g(

x)

x

13)

g(

x)

x 14)

g(

x)

x

15)

f (

x)

x

Page 45: Quiz Composition and Inverses of Functions

©J 32z0T1t2w 2KFuatRaH 7Sooifkt4wuaSrUe8 kL2L3C9.l l pAXlzlf IrFiig4hdtzsE kryeCsWe9raviexd2.o t hM8aFdxeJ 3wqi6t1hn TIFn4fWi7nZi5tjef VAFlmgfeXbvrXaY 226.M Worksheet by Kuta Software LLC

Composition and Inverses of Functions

ID: 23

Name___________________________________

Date________________©P V2x0m1Q2x 2KBumtLaf BSyo9fbtKwOa9rdeV hLgLRCe.u 6 EArlQlR FrkibgUhptOsm 3rIeZsbePr7vve4dk.LQuizPerform the indicated operation.

1)

g(

n)

n

f (

n)

nFind (

g

f )(

n)

2)

g(

x)

x

h(

x)

xFind (

g

h)(

x)

3)

g(

t)

t

h(

t)

t

tFind (

g

h)(

t)

4)

h(

x)

x

g(

x)

xFind (

h

g)(

x)

5)

f (

a)

a

g(

a)

a

aFind (

f

g)(

a)

6)

g(

n)

n

f (

n)

nFind (

g

f )(

n)

7)

g(

x)

x

h(

x)

x

xFind (

g

h)()

8)

g(

n)

n

f (

n)

nFind (

g

f )()

State if the given functions are inverses.

9)

g(

x)

x

f (

x)

x

10)

g(

x)

x

f (

x)

x

Find the inverse of each function.

11)

f (

x)

x

12)

f (

x)

x

13)

f (

x)

x 14)

f (

x)

(

x)

15)

f (

x)

x

Page 46: Quiz Composition and Inverses of Functions

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Answers to Quiz (ID: 23)1)

n

n 2)

x 3)

t

t4)

x 5)

a

a 6)

n7) 8) 9) No10) No

11)

f (

x)

x 12)

f (

x)

x

13)

f (

x)

x 14)

f (

x)

x 15)

f (

x)

x

Page 47: Quiz Composition and Inverses of Functions

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Composition and Inverses of Functions

ID: 24

Name___________________________________

Date________________©o G220e1I2T XKNu5tsaX JS0odfyt3waa2rueJ ZLdL5CB.D V hAolZlz mrii4gjhstls9 4rJelsvearRvgeidD.ZQuizPerform the indicated operation.

1)

g(

n)

n

h(

n)

n

nFind (

g

h)(

n)

2)

f (

x)

x

g(

x)

xFind (

f

g)(

x)

3)

g(

n)

n

f (

n)

nFind (

g

f )(

n)

4)

g(

x)

x

x

f (

x)

xFind (

g

f )(

x)

5)

g(

x)

x

f (

x)

xFind (

g

f )(

x)

6)

f (

a)

a

g(

a)

a

aFind (

f

g)(

a)

7)

g(

n)

n

f (

n)

nFind (

g

f )()

8)

h(

x)

x

g(

x)

x

xFind (

h

g)()

State if the given functions are inverses.

9)

g(

x)

x

f (

x)

x

10)

g(

x)

x

f (

x)

x

Find the inverse of each function.

11)

f (

x)

x 12)

f (

x)

x

13)

g(

x)

x 14)

f (

x)

(

x)

15)

g(

x)

x

Page 48: Quiz Composition and Inverses of Functions

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Answers to Quiz (ID: 24)1)

n

n 2)

x

x

x 3)

n4)

x

x

x 5)

x 6)

a

a7) 8) 9) No10) No

11)

f (

x)

x

12)

f (

x)

x

13)

g(

x)

(

x) 14)

f (

x)

x 15)

g(

x)

x

Page 49: Quiz Composition and Inverses of Functions

©8 e2n041S2S 1Kcujtfa4 wStotf0tDwNa8rfeV BLhLZCt.S 0 gAQldlO OrZisg3hqtWsl PrVezstemrQv9eDdC.G H SMQafd7e4 Wwoi8tohL hIHnPfEilneibtieA QA4lcgteCb0r5aL i2R.S Worksheet by Kuta Software LLC

Composition and Inverses of Functions

ID: 25

Name___________________________________

Date________________©V 72a021q2F 8KWuotBaf USqoBfftTwoa5rHeh rLDLzCn.A 7 IAjlRlT Br0iJg0hntHsw BrheXsGesrJvHeEdq.8QuizPerform the indicated operation.

1)

g(

a)

a

a

h(

a)

aFind (

g

h)(

a)

2)

g(

n)

n

h(

n)

nFind (

g

h)(

n)

3)

g(

x)

x

x

f (

x)

xFind (

g

f )(

x)

4)

g(

n)

n

h(

n)

nFind (

g

h)(

n)

5)

f (

x)

x

g(

x)

x

xFind (

f

g)(

x)

6)

h(

x)

x

g(

x)

xFind (

h

g)(

x)

7)

g(

x)

x

h(

x)

x

x

Find (

g

h)()

8)

g(

t)

t

t

h(

t)

tFind (

g

h)()

State if the given functions are inverses.

9)

f (

x)

x

g(

x)

x

10)

g(

x)

x

f (

x)

x

Find the inverse of each function.

11)

f (

x)

x

12)

g(

x)

x

13)

h(

x)

x 14)

f (

x)

x

15)

f (

x)

x

Page 50: Quiz Composition and Inverses of Functions

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Answers to Quiz (ID: 25)1)

a

a 2)

n 3)

x

x

x4)

n

n 5)

x

x 6)

x

x7) 8) 9) Yes10) No

11)

f (

x)

x

12)

g(

x)

x

13)

h(

x)

x

14)

f (

x)

x 15)

f (

x)

x

Page 51: Quiz Composition and Inverses of Functions

©7 E2U0l1K2U cK5u3twaK 7SkoufQt0wLa5ruet cLnLkCu.o l MAwltlm 1rDixgxhVtZsH 9rteKsNerrlvKeod0.l 7 TM1acdueK OwIiMtRhr 0IrnLfXiqnrietIem dA8lxgGeVbsrTaC w2W.L Worksheet by Kuta Software LLC

Composition and Inverses of Functions

ID: 26

Name___________________________________

Date________________©0 32H0W1R2L eKiumtqaK RS5oMfNtnwlajr2eO lLBLkCL.T 4 KATlFll Yrni4gFhRtNsz ArXeZsVecrmvdeNdl.iQuizPerform the indicated operation.

1)

f (

t)

t

t

g(

t)

tFind (

f

g)(

t)

2)

f (

x)

x

g(

x)

xFind (

f

g)(

x)

3)

g(

a)

a

h(

a)

aFind (

g

h)(

a)

4)

h(

t)

t

g(

t)

t

tFind (

h

g)(

t)

5)

g(

x)

x

h(

x)

xFind (

g

h)(

x)

6)

g(

n)

n

f (

n)

nFind (

g

f )(

n)

7)

f (

x)

x

g(

x)

xFind (

f

g)()

8)

f (

x)

x

g(

x)

x

xFind (

f

g)()

State if the given functions are inverses.

9)

h(

x)

x

f (

x)

x10)

g(

x)

x

f (

x)

x

Find the inverse of each function.

11)

g(

x)

x12)

h(

x)

x

13)

g(

x)

(

x) 14)

f (

x)

x

15)

f (

x)

x

Page 52: Quiz Composition and Inverses of Functions

©Y T2C001c20 AK8ustPaL AS9oWfTtvwXaXrjeP OLmL1CL.y 7 qAQlPlk er5i0gKhHt1sq frVeTseeKrCvfe6dP.c z 0MJatdoeT Cwvivtwhn 1IwnIfIiSnpigtkeD cAflWgeeWb8rbak I2R.y Worksheet by Kuta Software LLC

Answers to Quiz (ID: 26)1)

t

t

t 2)

x 3)

a4)

t

t 5)

x 6)

n7) 8) 9) No10) No

11)

g(

x)

x

12)

h(

x)

x

13)

g(

x)

x 14)

f (

x)

x 15)

f (

x)

x

Page 53: Quiz Composition and Inverses of Functions

©7 W2z0B1r2C tKqu7tOan aSFoJfGtMweaNrQev SLQLwCY.p B uAMlilS srliXgihVtYsb NrmemsJevr9vYeid8.4 W MM5andweZ uwJiOtbhB sIBnwf6ivn3iQtzeP TA6l9g3epbqrua6 K2p.O Worksheet by Kuta Software LLC

Composition and Inverses of Functions

ID: 27

Name___________________________________

Date________________©q v2c0k152n dK8u5tmaG 3SYoqfutVwoaBr8eQ ALGLhCD.m h OAdlalp orLigg2hstmsB FrieysTe8rlvQeAdE.2QuizPerform the indicated operation.

1)

g(

x)

x

f (

x)

xFind (

g

f )(

x)

2)

f (

a)

a

g(

a)

a

aFind (

f

g)(

a)

3)

f (

n)

n

g(

n)

nFind (

f

g)(

n)

4)

f (

a)

a

g(

a)

a

aFind (

f

g)(

a)

5)

h(

t)

t

g(

t)

tFind (

h

g)(

t)

6)

f (

x)

x

g(

x)

xFind (

f

g)(

x)

7)

g(

x)

x

h(

x)

x

xFind (

g

h)()

8)

h(

a)

a

g(

a)

aFind (

h

g)()

State if the given functions are inverses.

9)

f (

x)

x

g(

x)

x

10)

h(

x)

x

f (

x)

x

Find the inverse of each function.

11)

f (

x)

x 12)

f (

x)

x

13)

g(

x)

x

14)

f (

x)

(

x)

15)

f (

x)

x

Page 54: Quiz Composition and Inverses of Functions

©q U2c0n192L IKduNtFaT CSZo1fUtywbaFroeG TLtL1Cx.C E uANlJlb JrYikgthhthso KrneTsReWruvneYdg.G a pMlaDddev vw4i5tShj 1IQnjfviEnxi3txeB iARlNgBecbdrea1 e2K.K Worksheet by Kuta Software LLC

Answers to Quiz (ID: 27)1)

x 2)

a

a 3)

n4)

a

a 5)

t 6)

x7) 8) 9) Yes10) No

11)

f (

x)

x

12)

f (

x)

x

13)

g(

x)

x 14)

f (

x)

x

15)

f (

x)

x

Page 55: Quiz Composition and Inverses of Functions

©7 z2R0q1629 DK6uKt0af 2SPoGfLt3wOadrse5 8LzL0CC.S Y YAclmll kr8iBgNhntisF VraeZsCefrivJeldY.d Y uMdardHe0 lw8i9thhd aIUnQf7i9n3iwtReb LAwlygcezbqrfaG 423.o Worksheet by Kuta Software LLC

Composition and Inverses of Functions

ID: 28

Name___________________________________

Date________________©E g230A1F2S kKSudtTaA dSOoLf6tDwcaqr5ei iLlL9CQ.w 3 yA4lllM orki7gUhDtxsF CrCees8eerPvVeBdI.RQuizPerform the indicated operation.

1)

f (

n)

n

g(

n)

nFind (

f

g)(

n)

2)

g(

n)

n

n

h(

n)

nFind (

g

h)(

n)

3)

g(

t)

t

t

f (

t)

tFind (

g

f )(

t)

4)

f (

x)

x

g(

x)

xFind (

f

g)(

x)

5)

g(

x)

x

h(

x)

x

xFind (

g

h)(

x)

6)

g(

n)

n

n

f (

n)

nFind (

g

f )(

n)

7)

f (

x)

x

x

g(

x)

xFind (

f

g)()

8)

g(

a)

a

h(

a)

aFind (

g

h)()

State if the given functions are inverses.

9)

g(

x)

x

f (

x)

x

10)

f (

x)

x

g(

x)

x

Find the inverse of each function.

11)

f (

x)

x

12)

f (

x)

x

13)

g(

x)

(

x) 14)

g(

x)

x

15)

f (

x)

x

Page 56: Quiz Composition and Inverses of Functions

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Answers to Quiz (ID: 28)1)

n

n 2)

n

n 3)

t

t4)

x 5)

x

x 6)

n

n

n7) 8) 9) Yes10) No 11)

f (

x)

x 12)

f (

x)

x13)

g(

x)

x 14)

g(

x)

x

15)

f (

x)

x

Page 57: Quiz Composition and Inverses of Functions

©X o2w0E1K2F 3KzuAttaf 7Sgokfvt0wBaPrQe9 nLvL7Cf.F x 9APlml5 Ur1iNgmhwt8sx 3rve2sse4rOvdeGdf.z J iMYagdMeT 5w7iLt1hp MIHn1fTi2nYi6tjed rAClHgyezbhrXaS G25.M Worksheet by Kuta Software LLC

Composition and Inverses of Functions

ID: 29

Name___________________________________

Date________________©R B2w0x1u2v eKyuHtma1 zSIoCf3tawDanrjez iLaLSCE.f y qAflIl0 frAiygJhCt3sV JrKehsNeUrGv8eFd4.4QuizPerform the indicated operation.

1)

f (

x)

x

g(

x)

x

x

Find (

f

g)(

x)

2)

g(

x)

x

h(

x)

xFind (

g

h)(

x)

3)

h(

x)

x

g(

x)

xFind (

h

g)(

x)

4)

g(

x)

x

h(

x)

xFind (

g

h)(

x)

5)

g(

t)

t

h(

t)

tFind (

g

h)(

t)

6)

g(

n)

n

h(

n)

nFind (

g

h)(

n)

7)

f (

a)

a

g(

a)

aFind (

f

g)()

8)

f (

n)

n

g(

n)

n

nFind (

f

g)()

State if the given functions are inverses.

9)

h(

x)

x

f (

x)

x10)

g(

x)

x

f (

x)

x

Find the inverse of each function.

11)

f (

x)

x

12)

g(

x)

x

13)

f (

x)

(

x) 14)

f (

x)

x

15)

g(

x)

x

Page 58: Quiz Composition and Inverses of Functions

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Answers to Quiz (ID: 29)1)

x

x 2)

x 3)

x4)

x 5)

t 6)

n

n7) 8) 9) No10) No

11)

f (

x)

x

12)

g(

x)

x

13)

f (

x)

x 14)

f (

x)

x

15)

g(

x)

x

Page 59: Quiz Composition and Inverses of Functions

©Y B2S0e1x2V NKwu9tjab iS5osfZtdwcaoreeu aLwLGCn.v C FAilllH nrRiWgkhRtksa FrEelsMelrCvHe5dZ.Y m 4MeaadbeN 0wBiEtzht oIbnNfHi2nKietUew EAWl5gye6bqrPaV 92z.k Worksheet by Kuta Software LLC

Composition and Inverses of Functions

ID: 30

Name___________________________________

Date________________©I I2Y0d1u2K EKJuvthan 1S1onfwttwDaarDeL HLMLJCd.D 1 yADlal2 WrXimgQhDtgs7 zrKehsJeWr6vheUdi.LQuizPerform the indicated operation.

1)

f (

x)

x

x

g(

x)

xFind (

f

g)(

x)

2)

h(

x)

x

g(

x)

xFind (

h

g)(

x)

3)

h(

n)

n

g(

n)

n

nFind (

h

g)(

n)

4)

g(

x)

x

f (

x)

xFind (

g

f )(

x)

5)

g(

x)

x

h(

x)

xFind (

g

h)(

x)

6)

g(

x)

x

h(

x)

xFind (

g

h)(

x)

7)

f (

x)

x

g(

x)

x

xFind (

f

g)()

8)

g(

n)

n

n

f (

n)

nFind (

g

f )()

State if the given functions are inverses.

9)

f (

x)

x

g(

x)

x

10)

f (

x)

x

g(

x)

x

Find the inverse of each function.

11)

f (

x)

x12)

h(

x)

x

13)

g(

x)

(

x) 14)

f (

x)

(

x)

15)

g(

x)

x

Page 60: Quiz Composition and Inverses of Functions

©R e2T0l1i2n SKGuKtqa8 3SAozfRtOw5a0rLek cLBLzCR.u v BAtljl7 ur5iogmh3tasN crGecs5ejrnvpeUdZ.G C zM5afdOem Fwki2tPhq zI9nAfPi5ngiPtWe5 SA7lVgteqbOrBaW 62k.S Worksheet by Kuta Software LLC

Answers to Quiz (ID: 30)1)

x

x 2)

x 3)

n

n4)

x 5)

x 6)

x7) 8) 9) No10) Yes

11)

f (

x)

x

12)

h(

x)

x

13)

g(

x)

x 14)

f (

x)

x

15)

g(

x)

x

Page 61: Quiz Composition and Inverses of Functions

©2 O2K0R172I MKeurtZac lSio1fTt5wvaprxeY fLMLECl.h 0 YAwlZlB grvi4g1hKtGsS RrKeAsZeorjv9eudB.A p AMlaBdaeK ewMiwtWhm mIenPf1iKnEi1tBeW kAulsgVeKborRaS N28.R Worksheet by Kuta Software LLC

Composition and Inverses of Functions

ID: 31

Name___________________________________

Date________________©I 225041f2A dKNuotJaz YSQokfRtqw1aDrHeK eLbL1Cs.3 A eAIlvl2 brDikg2h4tGsV trzeTsUelrfvgenda.CQuizPerform the indicated operation.

1)

g(

x)

x

f (

x)

x

xFind (

g

f )(

x)

2)

g(

x)

x

x

f (

x)

xFind (

g

f )(

x)

3)

f (

x)

x

x

g(

x)

xFind (

f

g)(

x)

4)

h(

x)

x

x

g(

x)

xFind (

h

g)(

x)

5)

g(

a)

a

a

h(

a)

aFind (

g

h)(

a)

6)

f (

x)

x

g(

x)

xFind (

f

g)(

x)

7)

f (

a)

a

g(

a)

aFind (

f

g)()

8)

f (

n)

n

g(

n)

nFind (

f

g)()

State if the given functions are inverses.

9)

f (

x)

x

g(

x)

x

10)

h(

x)

x

f (

x)

x

Find the inverse of each function.

11)

f (

x)

x 12)

f (

x)

x

13)

g(

x)

(

x) 14)

g(

x)

(

x)

15)

f (

x)

x

Page 62: Quiz Composition and Inverses of Functions

©S x2L0l1Q2E kKHucteap 6SqopfPtcwdairYe1 lLaLPCr.O z dA0lhlr QrPijgAhltEsn JraewsqeRr7vte7dR.Y x IMMaSdkeV CwViBtIhX IIPnbf8ijnVi6tKeG MA3lbgne7bLrHaB j2x.L Worksheet by Kuta Software LLC

Answers to Quiz (ID: 31)1)

x

x 2)

x

x 3)

x

x4)

x

x 5)

a

a

a 6)

x

x7) 8) 9) No10) No

11)

f (

x)

x 12)

f (

x)

x

13)

g(

x)

x

14)

g(

x)

x 15)

f (

x)

x

Page 63: Quiz Composition and Inverses of Functions

©O z2d001r2W DKmu9tIak pSdokfhtxw4axrKe1 wLJLYCz.j s JA8lclp frOi6gwhZtqst sr4eVsBeDrJvVebdE.2 u gMHaHdPeA cwmi9tvhZ PIDn6fhi7nJiHtgeO fAdlQgOevbtrQax r2v.m Worksheet by Kuta Software LLC

Composition and Inverses of Functions

ID: 32

Name___________________________________

Date________________©R 02h0Q1d2h zKduEtQaO YSnoKf6tYwja9rked 9L9L3C3.M 4 ZAilYlr Qr4iDgmhXtGsU KrzeCsueQrkvUe0di.oQuizPerform the indicated operation.

1)

h(

a)

a

g(

a)

aFind (

h

g)(

a)

2)

h(

t)

t

g(

t)

t

t

Find (

h

g)(

t)

3)

h(

t)

t

g(

t)

t

tFind (

h

g)(

t)

4)

g(

n)

n

h(

n)

nFind (

g

h)(

n)

5)

h(

t)

t

g(

t)

tFind (

h

g)(

t)

6)

g(

n)

n

n

h(

n)

nFind (

g

h)(

n)

7)

f (

x)

x

g(

x)

xFind (

f

g)()

8)

g(

t)

t

f (

t)

tFind (

g

f )()

State if the given functions are inverses.

9)

f (

x)

x

g(

x)

(

x)10)

g(

x)

(

x)

f (

x)

x

Find the inverse of each function.

11)

f (

x)

x

12)

g(

x)

x

13)

f (

x)

x 14)

f (

x)

x

15)

f (

x)

x

Page 64: Quiz Composition and Inverses of Functions

©J i2O0m1P2f 8KjuNtRax 1S5oZfCtNw8aTrfeJ VLDLfCA.3 1 PAIlTlA OrWi6g1hXtRsD 5rke9sDeYrNv3ehdR.R O LM4aRdHeW uw3ivt1hV UINn5fIi0nIiYtveb YAhlUgze9bvryaF f27.z Worksheet by Kuta Software LLC

Answers to Quiz (ID: 32)1)

a 2)

t

t 3)

t

t4)

n 5)

t 6)

n

n7) 8) 9) No10) Yes

11)

f (

x)

x

12)

g(

x)

x

13)

f (

x)

(

x) 14)

f (

x)

x 15)

f (

x)

x

Page 65: Quiz Composition and Inverses of Functions

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Composition and Inverses of Functions

ID: 33

Name___________________________________

Date________________©t c2E0u1b27 fKouZtZaU LSgoMfdtjwOaKrZeO GLLLRCf.D Q MAeldlv urfiCgGhDt4sA Hrqe3sKelrqvxeRdv.1QuizPerform the indicated operation.

1)

h(

x)

x

g(

x)

xFind (

h

g)(

x)

2)

g(

a)

a

h(

a)

aFind (

g

h)(

a)

3)

h(

a)

a

g(

a)

aFind (

h

g)(

a)

4)

g(

a)

a

f (

a)

aFind (

g

f )(

a)

5)

f (

n)

n

g(

n)

n

nFind (

f

g)(

n)

6)

h(

a)

a

g(

a)

aFind (

h

g)(

a)

7)

f (

a)

a

g(

a)

a

a

Find (

f

g)()

8)

h(

x)

x

g(

x)

xFind (

h

g)()

State if the given functions are inverses.

9)

f (

x)

x

h(

x)

x

10)

g(

x)

x

f (

x)

x

Find the inverse of each function.

11)

f (

x)

x

12)

f (

x)

x

13)

g(

x)

(

x) 14)

g(

x)

(

x)

15)

g(

x)

x

Page 66: Quiz Composition and Inverses of Functions

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Answers to Quiz (ID: 33)1)

x 2)

a 3)

a

a4)

a 5)

n

n 6)

a7) 8) 9) Yes10) No

11)

f (

x)

x 12)

f (

x)

x

13)

g(

x)

x

14)

g(

x)

x 15)

g(

x)

x

Page 67: Quiz Composition and Inverses of Functions

©w Q2i0e1c2S OKPuTthaS 8Sjolf1t7wKaxrzeL 3LSLgCv.j 5 0AnlRls cr8idgshMthsT sr9efsMeXr7v3ebdH.V 5 2MyaUdgeR fwNiDtChK wIGnqfHiZndiqtwer dAzlyg5ekb8rQab j25.6 Worksheet by Kuta Software LLC

Composition and Inverses of Functions

ID: 34

Name___________________________________

Date________________©k p210M1F2L PKVuCtfa0 6Szo4fht0wjamrce1 tLELyCf.2 A wAslPll 8rGiug3hStksG PrxefspeTrqvteMdH.zQuizPerform the indicated operation.

1)

f (

n)

n

g(

n)

nFind (

f

g)(

n)

2)

h(

x)

x

x

g(

x)

xFind (

h

g)(

x)

3)

h(

x)

x

g(

x)

xFind (

h

g)(

x)

4)

f (

t)

t

t

g(

t)

tFind (

f

g)(

t)

5)

h(

x)

x

g(

x)

xFind (

h

g)(

x)

6)

g(

a)

a

h(

a)

aFind (

g

h)(

a)

7)

g(

x)

x

f (

x)

xFind (

g

f )()

8)

f (

n)

n

g(

n)

nFind (

f

g)()

State if the given functions are inverses.

9)

g(

x)

x

f (

x)

x

10)

f (

x)

x

g(

x)

x

Find the inverse of each function.

11)

g(

x)

x12)

f (

x)

x

13)

g(

x)

x

14)

h(

x)

(

x)

15)

g(

x)

x

Page 68: Quiz Composition and Inverses of Functions

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Answers to Quiz (ID: 34)1)

n

n

n 2)

x

x

x3)

x 4)

t

t 5)

x

x

x6)

a 7) 8) 9) No 10) Yes

11)

g(

x)

x

12)

f (

x)

x

13)

g(

x)

(

x) 14)

h(

x)

x

15)

g(

x)

x

Page 69: Quiz Composition and Inverses of Functions

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Composition and Inverses of Functions

ID: 35

Name___________________________________

Date________________©e D2o0V162n 3Kdu7traS hSKorfmtJw1acrfew CLVLHCf.F 7 MAtljlt lr3ixgVhctIsu ArTensCegr0v0eQd9.nQuizPerform the indicated operation.

1)

g(

x)

x

f (

x)

xFind (

g

f )(

x)

2)

h(

a)

a

g(

a)

a

aFind (

h

g)(

a)

3)

g(

x)

x

f (

x)

xFind (

g

f )(

x)

4)

h(

x)

x

g(

x)

xFind (

h

g)(

x)

5)

f (

n)

n

g(

n)

n

nFind (

f

g)(

n)

6)

g(

t)

t

f (

t)

tFind (

g

f )(

t)

7)

g(

a)

a

a

h(

a)

aFind (

g

h)()

8)

g(

a)

a

h(

a)

a

aFind (

g

h)()

State if the given functions are inverses.

9)

h(

x)

x

f (

x)

(

x)10)

g(

x)

x

f (

x)

x

Find the inverse of each function.

11)

g(

x)

x

12)

f (

x)

x

13)

h(

x)

x

14)

h(

x)

x

15)

g(

x)

x

Page 70: Quiz Composition and Inverses of Functions

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Answers to Quiz (ID: 35)1)

x 2)

a

a 3)

x4)

x 5)

n

n 6)

t7) 8) 9) No10) Yes 11)

g(

x)

x 12)

f (

x)

x13)

h(

x)

(

x) 14)

h(

x)

(

x) 15)

g(

x)

x

Page 71: Quiz Composition and Inverses of Functions

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Composition and Inverses of Functions

ID: 36

Name___________________________________

Date________________©u V2e0o1u2N OK6uRt6af wSLonfqt5wuaZrnez 9LbL9C0.r p 6ABlMl9 TrkiRgmh6tMs7 HrOeLsdeirdvfeadM.dQuizPerform the indicated operation.

1)

g(

t)

t

h(

t)

tFind (

g

h)(

t)

2)

h(

a)

a

g(

a)

a

a

Find (

h

g)(

a)

3)

f (

x)

x

g(

x)

xFind (

f

g)(

x)

4)

g(

n)

n

f (

n)

n

nFind (

g

f )(

n)

5)

f (

x)

x

g(

x)

x

xFind (

f

g)(

x)

6)

f (

n)

n

n

g(

n)

nFind (

f

g)(

n)

7)

f (

t)

t

g(

t)

tFind (

f

g)()

8)

g(

n)

n

h(

n)

nFind (

g

h)()

State if the given functions are inverses.

9)

f (

x)

x

g(

x)

x

10)

f (

x)

x

g(

x)

x

Find the inverse of each function.

11)

g(

x)

x 12)

f (

x)

x

13)

g(

x)

(

x) 14)

h(

x)

(

x)

15)

f (

x)

x

Page 72: Quiz Composition and Inverses of Functions

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Answers to Quiz (ID: 36)1)

t

t 2)

a

a 3)

x4)

n

n 5)

x

x 6)

n

n7) 8) 9) Yes10) No 11)

g(

x)

x 12)

f (

x)

x

13)

g(

x)

x 14)

h(

x)

x 15)

f (

x)

x


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