Composition Of Functions

8 September 2022
4.7 (114 reviews)
10 test answers

Unlock all answers in this set

Unlock answers (6)
question
If h(x) = x - 7 and g(x) = x2, which expression is equivalent to (g o h)(5) ?
answer
(5 - 7)^2
question
Which description best explains the domain of (g o f)(x)
answer
the elements in the domain of f(x) for which g(f(x)) is defined
question
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)
answer
NOT all real values except x=-3 and the x for which x=7
question
if f(x)= (x-3)/x and g(x) = 5x - 4, what is the domain of (f o g)(x)
answer
NOT x|x=3
question
If u(x)=-2x^2+3 and v(x)= 1/x what is the range of (u o v)(x)
answer
NOT (3, infinity)
question
If f(x) = x2 + 1 and g(x) = x - 4, which value is equivalent to (f o g)(10)?
answer
37
question
If h(x) = 6 - x, what is the value of ( h o h)(10)?
answer
NOT -4
question
if m(x)= (x+5)/(x-1) and n(x) = x - 3, which function has the same domain as (m o n)(x)?
answer
h(x)= 11/(x-4)
question
f f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (f o g)(x)?
answer
3(x^2 + 1) + 2
question
if g(x)= (x+1)/(x-2) and h(x) = 4 - x, what is the value of (g o h)(-3)
answer
8/5