SWBAT: Find the Inverse of a Function
SWBAT: Find the Inverse of a Function
2 g
3(2)-2 4
h
-4(4)-2 -18
6 g
(6)2+3 39
h
3(39)+3 120
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SWBAT: Find the Inverse of a Function
f-1 means inverse
SWBAT: Find the Inverse of a Function
πβπ π = π, π , π, π , π, π
π»ππ ππππππππ ππππππππ πππ πππ π β π, ππ πππ πππππππ ππ πππ π ππππππππ.
SWBAT: Find the Inverse of a Function
Switch βxβ and βyβ
f(x) = 2x + 4
f-1(x) = Β½x -2
SWBAT: Find the Inverse of a Function
π = ππ + π
Switch βxβ and βyβ
π = ππ + π
Solve for βyβ
π β π = ππ πβπ
π= π = πβπ(π)
SWBAT: Find the Inverse of a Function
π = 2
3π + π
π = 2
3π + π
π β π = 2
3π π β β 3
ππ β ππ = 2π¦
ππβππ
π= π = πβπ(π)
SWBAT: Find the Inverse of a Function
π = ππ β π3
π₯ = ππ β π3 3
π₯3 = 2π¦ β 1
π₯3 + 1 = 2π¦
ππ+π
π= π = πβπ(π)
π = πππ β π
π + π = πππ
π + π
π= ππ
π+π
π = π¦2
π+π
π =
2π₯+2
2 = π = πβπ(π)
SWBAT: Find the Inverse of a Function
SWBAT: Find the Inverse of a Function
SWBAT: Find the Inverse of a Function
SWBAT: Find the Inverse of a Function
SWBAT: Find the Inverse of a Function
SWBAT: Find the Inverse of a Function