Composition of Functions

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

(5 - 7)^2

f f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (f o g)(x)?

3(x^2 + 1) + 2

If f(x) = x2 + 1 and g(x) = x - 4, which value is equivalent to (f o g)(10)?

37

if g(x)= (x+1)/(x-2) and h(x) = 4 - x, what is the value of (g o h)(-3)

8/5

If u(x)=-2x^2+3 and v(x)= 1/x what is the range of (u o v)(x)

NOT (3, infinity)

If h(x) = 6 - x, what is the value of ( h o h)(10)?

NOT -4

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 (g o f)(x)

NOT all real values except x=-3 and the x for which x=7

if f(x)= (x-3)/x and g(x) = 5x - 4, what is the domain of (f o g)(x)

NOT x|x=3

if m(x)= (x+5)/(x-1) and n(x) = x - 3, which function has the same domain as (m o n)(x)?

h(x)= 11/(x-4)

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

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