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 Functions

Inverse Functions

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