Composition of Functions

If h(x) = x - 7 and g(x) = x2, which expression is equivalent to (goh)(5)?

A. (5 - 7)^2

If h(x) = 5 + x and k(x)=1/x, which expression is equivalent to (koh)(x)?

B. 1/(5+x)

For which pairs of functions is (Fog)(x)=x?

B. f(x)=2/x and g(x)=2/x

If f(x) = x^2 + 1 and g(x) = x - 4, which value is equivalent to (f*g)(10)?

a. 37

Which description best explains the domain of (g*f)(x)?

a. the elements in the domain of f(x) for which g(f(x)) is defined

If s(x) = x - 7 and t(x) = 4x^2 - x + 3, which expression is equivalent to (t*s)(x)?

b. 4(x - 7)^2 - (x - 7) + 3

If p(x) = 2x^2 - 4x and q(x) = x - 3, what is (p*q)(x)?

c. 2x^2- 16x + 30

The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except -3. Which of the following describes the domain of (gof)(x)?

d. all real values except x=7 and the x for which f(x)=-3

If f(x)=x-3/xand g(x) = 5x - 4, what is the domain of (fog)(x)?

{x|x not equal to 4/5}