1. Use Inverse Functions
Notes 6.4

2. Finding an inverse:
Step 1: If there is an f(x), change it into terms of y
Step 2: Replace all y’s with x’s and all x’s with y’s
Step 3: Solve for y
Step 4: change y to f-1(x)

3. Find the inverse of the given function.

4. Find the inverse of the given function.

5. Find the inverse of the given function.

6. Find the inverse of the function.

7. Find the inverse of the function.

8. Find the inverse of the function.

9. Find the inverse of the function.

10. Find the inverse of the function.

11. Find the inverse of the function.

12. If you are looking for the inverse of f(x), it is written as f-1(x).
Inverse Functions
If given two functions f(x) and g(x), they are inverses if:
f(g(x)) = x, and g(f(x)) = x Or
f-1(x) = g(x) and g-1(x) = f(x)
Notation:
If you are looking for the inverse of f(x), it is written as f-1(x).

13. Show that the two functions are inverse functions.
f(g(x)) = x, and g(f(x)) = x

14. Show that the two functions are inverse functions.
f(g(x)) = x, and g(f(x)) = x

15. Show that the two functions are inverse functions.
f-1(x) = g(x) and g-1(x) = f(x)

16. Show that the two functions are inverse functions.
f-1(x) = g(x) and g-1(x) = f(x)

17. Homework:
P , 15-20, 22-27, 38-43