1. 7-3 NOTES Algebra II

2. Starter Given that f(x) = 3x – 2, and g(x) = 2x 2, f(x) – g(x) = f(x) *g(x) g(f(x)) =

3. Example 1 If f(x) = 3x -2, and g(x) = 2x – 5, find the following and state domains: f(g(x))= g(f(x)) =

4. Example 2 If f(x ) = 3/2x, and h(x) = 5x – 10, find the following and state domains: f(x)/h(x)=f(h(x)) =

5. Example 3: If f(x) = 3x 2 – 7x + 2, and p(x) = 2x – 1, find the following and state domains: f(p(x)) = p(f(x))

6. Example 3 Continued If f(x) = 3x 2 – 7x + 2, and p(x) = 2x – 1, find the following and state domains: f(f(x)) = p(p(x))=

7. On your own: If f(x) = 2x – 12, and g(x) = 2x 3 – 22, find the following and state domains: f(x) + g(x) f(x) – g(x) g(x) / f(x) f(x)*g(x) f(g(x)), g(f(x)), f(f(x)), and g(g(x))

8. Homework: Section 7-3: page 418, #