2B.4 Inverse Functions
• Objectives:
–Find the inverse of a function
Inverse Operations • An inverse operation is an operation that “undoes” what has already been done.
Original Operation Inverse Operation Example
Addition Subtraction
Subtraction Addition
Multiplication Division
Division Multiplication
Square Taking the square root
Square root Squaring the number
Inverse Function Notation
Inverse Functions
X Y
Inverse Functions • Consider a function with the following inputs and corresponding outputs.
Compare the original function with the inverse function.
X Y
Inverse Functions
X Y
Guided Practice 2.7.1
Guided Practice 2.7.1
Guided Practice 2.7.1
Homework • WB: Page 241 (2.7.1) #’s 1-10
–On 1-6, Find the inverse of each function
–On 7-10, State a reasonable domain for the function, then find the inverse function
EXTRA CREDIT:
• RB: Page U2-213, #’s 1-10