1. 1. Composition of Functions - Definition.

2. 2. Examples.
If f(x) = 4 - x2, g(x) = , find:
also, find the domain in each case.

3. 2. Examples.
If f(x) = 4 - x2, g(x) = , find:
also, find the domain in each case.

4. 2. Examples.
If f(x) = 4 - x2, g(x) = , find:
also, find the domain in each case.

5. 2. Examples.
If f(x) = 4 - x2, g(x) = , find:
also, find the domain in each case.

6. 2. Examples.
If f(x) = 4 - x2, g(x) = , find:
also, find the domain in each case.
Domain:

7. 2. Examples.
If f(x) = 4 - x2, g(x) = , find:
also, find the domain in each case.
Domain:

8. 2. Examples.
If f(x) = 4 - x2, g(x) = , find:
also, find the domain in each case.
Domain:

9. 2. Examples.
If f(x) = 4 - x2, g(x) = , find:
also, find the domain in each case.
Domain:

10. 2. Examples.
If f(x) = 4 - x2, g(x) = , find:
also, find the domain in each case.
Domain: Domain:

11. 2. Examples.
True or False:

12. 2. Examples.
True or False:
False

13. 2. Examples.
If f(x) = , g(x) = x2 - 4, find:
also, find the domain in each case.

14. 2. Examples.
If f(x) = , g(x) = x2 - 4, find:
also, find the domain in each case.

15. 2. Examples.
If f(x) = , g(x) = x2 - 4, find:
also, find the domain in each case.

16. 2. Examples.
If f(x) = , g(x) = x2 - 4, find:
also, find the domain in each case.
Domain:

17. 2. Examples.
If f(x) = , g(x) = x2 - 4, find:
also, find the domain in each case.
Domain:

18. 2. Examples.
If f(x) = , g(x) = x2 - 4, find:
also, find the domain in each case.
Domain:

19. 2. Examples.
If f(x) = , g(x) = x2 - 4, find:
also, find the domain in each case.
Domain:

20. 2. Examples.
If f(x) = , g(x) = x2 - 4, find:
also, find the domain in each case.
Domain: Domain:

21. 3. Exercises
Given f(x) = 4 - 2x, g(x) = 2x2 - 3x + 5 and h(x) = 3x − 2 x − 10 ,
find the following, and their domain:
a) f o h
b) h o g
c) f o f
d) (g o f)(1)
e) f(h(g(3)))

22. 5. Homeworks.