1. Operations with Functions Objective: Perform operations with functions and find the composition of two functions

4. Operations with Functions For all functions f and g: Sum: (f + g)(x) = f(x) + g(x) Difference (f – g)(x) = f(x) – g(x) Product (fg)(x) = f(x)g(x) Quotient (f/g)(x) = f(x)/g(x)

5. Example 1

8. Try This Let and. Find: (f + g)(x) (f – g)(x)

9. Try This Let and. Find: (f + g)(x) (f – g)(x)

10. Try This Let and. Find: (f + g)(x) (f – g)(x)

11. Example 2

14. Try This Let and. Find: (f g)(x) (f/g)(x)

15. Try This Let and. Find: (f g)(x) (f/g)(x)

16. Try This Let and. Find: (f g)(x) (f/g)(x)

18. Example 3

21. Try This Let and. Find: and

22. Try This Let and. Find: and

23. Try This Let and. Find: and

24. Example 4

27. Example 5 Let and. Find

28. Example 5 Let and. Find You have two choices. First, lets find f(g(x)) and evaluate it at x = 3.

29. Example 5 Let and. Find You have two choices. First, lets find f(g(x)) and evaluate it at x = 3.

30. Example 5 Let and. Find You have two choices. Second, we can find g(3) and put that answer into f.

31. Example 5 Let and. Find You have two choices. Second, we can find g(3) and put that answer into f.

33. Homework Page 115 11-55 odd