1. OPERATIONS ON FUNCTIONS

2. Definition. Sum, Difference, Product, Quotient and Composite Functions Let f and g be functions of the variable x. 1. The sum function f+g is the function defined by

3. OPERATIONS ON FUNCTIONS Let f and g be functions of the variable x. 2. The difference function f – g is the function defined by

4. OPERATIONS ON FUNCTIONS Let f and g be functions of the variable x. 3. The product function fg is the function defined by

5. OPERATIONS ON FUNCTIONS Let f and g be functions of the variable x. 4. The quotient function is the function defined by f g –

6. OPERATIONS ON FUNCTIONS Let f and g be functions of the variable x. 5. The composite function f g is the function defined by O

7. OPERATIONS ON FUNCTIONS The domain of f+g, f – g, fg, and is the intersection of the domains of f and g, with the added restriction on the quotient. The domain of consists of the set of x ’s for which g ( x ) is contained in the domain of f. f g – O f g

8. OPERATIONS ON FUNCTIONS Illustration. If and, then

9. OPERATIONS ON FUNCTIONS Illustration. If and, then

10. OPERATIONS ON FUNCTIONS Illustration. If and, then

11. OPERATIONS ON FUNCTIONS Illustration. Given and.

12. OPERATIONS ON FUNCTIONS Illustration. Given and.

13. OPERATIONS ON FUNCTIONS Illustration. Given and.

14. OPERATIONS ON FUNCTIONS Illustration. If and, then

15. OPERATIONS ON FUNCTIONS Illustration. If and, then

16. OPERATIONS ON FUNCTIONS Illustration. If and, then

17. OPERATIONS ON FUNCTIONS Illustration. If and, then

18. OPERATIONS ON FUNCTIONS Illustration. Given and.

19. OPERATIONS ON FUNCTIONS Illustration. Given and.

20. OPERATIONS ON FUNCTIONS Illustration. Given and.

21. OPERATIONS ON FUNCTIONS Illustration. Given and.

22. For numbers 1-5, f ind and their respective domains. TIME TO THINK

23. For numbers 1-5, f ind and their respective domains. TIME TO THINK