1. Combinations of Functions

2. In this section, you will learn to:
find the sum, difference, product and quotient functions
define a composite function
find the domain and range of composite functions

3. Sum, Difference, Product and Quotient of Functions:
Let f and g be two functions with
overlapping domains. Then, for all x
common to both domains, the following is
defined:

4. Sum, Difference, Product and Quotient of Functions:

5. Example #1:

6. Example #1:

7. Example #1:

8. Example #1:

9. Example #1:

10. Example #2:

11. Example #2:

12. Example #2:

13. Example #2:

14. Example #2:

15. Definition of composition of two functions:

16. Definition of composition of two functions:

17. Definition of composition of two functions:

18. Definition of composition of two functions:

19. Definition of composition of two functions:

20. Definition of composition of two functions: