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# DiffCalculus: September 11, 2012

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### DiffCalculus: September 11, 2012

1. 1. 1. Composition of Functions - Definition.
2. 2. 2. Examples. If f(x) = 4 - x2, g(x) = , find: also, find the domain in each case.
3. 3. 2. Examples. If f(x) = 4 - x2, g(x) = , find: also, find the domain in each case.
4. 4. 2. Examples. If f(x) = 4 - x2, g(x) = , find: also, find the domain in each case.
5. 5. 2. Examples. If f(x) = 4 - x2, g(x) = , find: also, find the domain in each case.
6. 6. 2. Examples. If f(x) = 4 - x2, g(x) = , find: also, find the domain in each case. Domain:
7. 7. 2. Examples. If f(x) = 4 - x2, g(x) = , find: also, find the domain in each case. Domain:
8. 8. 2. Examples. If f(x) = 4 - x2, g(x) = , find: also, find the domain in each case. Domain:
9. 9. 2. Examples. If f(x) = 4 - x2, g(x) = , find: also, find the domain in each case. Domain:
10. 10. 2. Examples. If f(x) = 4 - x2, g(x) = , find: also, find the domain in each case. Domain: Domain:
11. 11. 2. Examples. True or False:
12. 12. 2. Examples. True or False: False
13. 13. 2. Examples. If f(x) = , g(x) = x2 - 4, find: also, find the domain in each case.
14. 14. 2. Examples. If f(x) = , g(x) = x2 - 4, find: also, find the domain in each case.
15. 15. 2. Examples. If f(x) = , g(x) = x2 - 4, find: also, find the domain in each case.
16. 16. 2. Examples. If f(x) = , g(x) = x2 - 4, find: also, find the domain in each case. Domain:
17. 17. 2. Examples. If f(x) = , g(x) = x2 - 4, find: also, find the domain in each case. Domain:
18. 18. 2. Examples. If f(x) = , g(x) = x2 - 4, find: also, find the domain in each case. Domain:
19. 19. 2. Examples. If f(x) = , g(x) = x2 - 4, find: also, find the domain in each case. Domain:
20. 20. 2. Examples. If f(x) = , g(x) = x2 - 4, find: also, find the domain in each case. Domain: Domain:
21. 21. 3. ExercisesGiven 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 hb) h o gc) f o fd) (g o f)(1)e) f(h(g(3)))
22. 22. 5. Homeworks.

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