1. Homework Questions

2. Composition/Decomposition
Ask good questions – you have a QUIZ tomorrow and this stuff is on it!

3. Composition of Functions
Let and
Find f(g(x)) and g(f(x))

4. Composition of Functions:
f(x) = x – 2
g(x) = x2
Find (f o g)(2)
Find (g o f)(-3)

5. More Composition: f(x) = 2x – 3 g(x) = 4x + 5 Find (f o g)(x)
Find (g o f)(x)

6. More Composition: f(x) = x2 – 1 g(x) = √x Find (f o g)(x)
Find (g o f)(x)

7. More Composition: f(x) = 2x + 1 g(x) = 3x2 h(x) = –x – 1
Find f(g(h(x)))
Find h(g(f(x)))

8. Decomposing Functions aka – opposite of composition
For h(x), find f(x) and g(x) such that h(x) = f(g(x))

9. Decomposing Functions aka – opposite of composition
For h(x), find f(x) and g(x) such that h(x) = f(g(x))

10. Homework
P. 128 (11-20)
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