1. Objective: to find and verify inverses of functions.
7.4 Inverse Functions
Objective: to find and verify inverses of functions.

2. What is an inverse?
Inverse Relation – maps the output values back to their original input values. x -2 -1 1 2 y 4 -4 x 4 2 -2 -4 y -1 1

3. How to find an inverse
Switch the x and y. Solve for y.

4. You try!
Find the inverse:

5. How do you know if they are inverses?
Two functions are inverses of each other if:
f(g(x)) = x and g(f(x)) = x

6. Verification
Verify that and are inverses.

7. Verification
Verify that and are inverses.

8. Example: Graphing Inverse Functions
Find the inverse of Graph both functions

9. 7.4 Assignment Read Section 7.4
**Give an example using ordered pairs that shows an inverse relation
: even, all, 37, 40, 41, 77, 79, 81, 82