Wetzel

Math 110

4.1 – 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 -

HW:  6^th Ed.     p.371 #1, 3, 13-19odd, 27, 31-35odd, 39, 41

          5^th Ed.    p.364 #1, 3, 13-19odd, 23, 27, 29, 31, 35, 37