Wetzel

Math 140

5.3 – Inverse Functions

 

Review of Inverse Operations –

 

Definition of a Function –

 

 

Definition of an Inverse Function –

 

            Horizontal Line Test –

 

 

            Graph of an Inverse Function –

 

 

Finding an Inverse Function –

 

            Steps:

1.)  Make sure the function is one-to-one.

 

2.)  Replace  with y.

 

            3.)  Interchange x and y.

 

            4.)  Solve for y.

 

            5.)  Replace y with

 

Ex.:  Find the inverse of f(x).

1.)                                                         2.)                    

 

 

 

 

 

 

 

 

 

 

 

 

HW:  p. 347 #1-5odd(b only), 9-12all, 29-35odd