Question

1. For the function f(x)=x2−36 evaluate f(x+h).

f(x+h)=

2. Let f(x)=3x+4,g(x)=9x+12, and h(x)= 9x^2+ 24x+16. evaluate the following:

a. (fg)(3)=

b. (f/g) (2)=

c. (f/g) (0)=

d.(fh)(-1)=

3. Let f(x)=2x-1, g(x)=x-3, and h(x) =2x^2-7x+3. write a formula for each of the following functions and then simplify

a. (fh) (x)=

b. (h/f) (x)=

c. (h/g) (x)=

4.Let f(x)=5−x and g(x)=x^3+3 find:

a. (f∘g)(0)=

b.(g∘f)(0)=

c. (f∘g)(x)=

d. (g∘f)(x)=

5. Let f(x)=x^2+5x and g(x)=4x+5 find:

a. (f∘g)(x)=

b. (g∘f)(x)=

c. (f∘g)(0)=

d. (g∘f)(0)=

6. Let f(x)=x^2 and g(x)=x−5 find:

a. (f∘g)(x)=

b. (g∘f)(x)=

c. (f∘g)(5)=

d. (g∘f)(5)=

Answer 1