1. Perform the indicated operation.
Let f(x) = x+5 and g(x) = x2 – 5x + 2
Find f(x) + g(x)
Let f(x) = -3x1/3 + 4x1/2 & g(x) = 5x1/3 + 4x1/2
Find f(x) – g(x)

2. 6.3: Perform Function Operations and Compositions
Algebra II
6.3: Perform Function Operations and Compositions
HW: p.432 (20-26 even), p.445 (1-4)

3. Perform the indicated operation.
Let f(x) = 4x2/3 and g(x) = 5x1/2
1.) Find g(x) . f(x)
2.) Find g(x)/f(x)

4. Find the indicated value. (composition of functions)
Let f(x) = 4x + 7 and g(x) = 12x – 1
1.) Find g(f(3)) 2.) Find f(g(3))

5. Find the indicated value.
Let g(x) = -x2 and h(x) =
1.) Find h(h(-4)) 2.) Find g(h(8))

6. Perform the indicated operation.
Let f(x) = 4x and g(x) = 3x – 5
Find f(g(x))

7. Perform the indicated operation.
Let f(x) = 2x2 and g(x) = 3x – 5
Find f(g(x))

8. Perform the indicated operation.
Let f(x) = 3x-1 , g(x) = 2x – 7 , and
h(x) =
1.) Find g(f(x)) 2.) Find g(h(x))

9. Perform the indicated operation.
Let f(x) = 2x2 + 5 and g(x) = x – 8
Find f(g(x))

10. Perform the indicated operation.
Let f(x) = 2x – 4 and g(x) = 5x + 8
Find g(f(x))