Wetzel

Math 102

11.6 – Inverse Functions

Review of Inverse Operations –

Definition of a Function –

Definition of an Inverse Function –

            Horizontal Line Test –

            Determining if two functions are inverses –

                        f(x) and g(x) are inverse functions if and only if

                           and  

Ex.:

1.)  Determine if   and   are inverses.

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).

2.)                     3.)                     4.) 

Domain and Range of Inverse Functions -

Graphs of Inverse Functions -