1. Key Concept 2

2. Determine whether f has an inverse function for
Determine whether f has an inverse function for If it does, find the inverse function and state any restrictions on its domain. A. B. C.
D. f –1(x) does not exist.
Example 2

3. Key Concept 3

4. Show that f [g (x)] = x and g [f (x)] = x.
Verify Inverse Functions
Show that f [g (x)] = x and g [f (x)] = x.
Example 3

5. Show that f (x) = x 2 – 2, x  0 and are inverses of each other.B. C. D.
Example 3

6. Use the graph of relation A to sketch the graph of its inverse.
Find Inverse Functions Graphically
Use the graph of relation A to sketch the graph of its inverse.
Example 4

7. Find Inverse Functions Graphically
Graph the line y = x. Locate a few points on the graph of f (x). Reflect these points in y = x. Then connect them with a smooth curve that mirrors the curvature of f (x) in line y = x.
Answer:
Example 4

8. Use the graph of the function to graph its inverse function.B. C. D.
Example 4