12
practice testMultiple Choice

Practice Test

Question 12 • Mathematics III

For which pair of functions is open paren f circ g close paren times x is equal to 12 x ?

Answer
A
f of x is equal to square root of x and g of x is equal to 144 x
B
f of x is equal to 4 x and g of x is equal to 3 x
C
f of x is equal to 3 minus 4 x and g of x is equal to 16 x minus 3
D
f of x is equal to 6 x squared and g of x is equal to 2 over x

Explanation

To find (f ∘ g)(x), substitute g(x) into f(x). For choice C, g(x) = 3x and f(x) = 4x, so f(g(x)) = 4(3x) = 12x. This matches the expression in the question, so the correct pair is f(x) = 4x and g(x) = 3x.

AI-written and checked against the verified answer.

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