f(x) =3x; g(x) = 4x^2 +1

Which expression is equal to (fog) (x)?


a 4x^2 + 3x -1
b 12x^3 + 3x
c 36^2 + 1
d 12x^2 + 3

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Answer:

Answer: d 12x^3 + 3

Step-by-step explanation:

This is a composite function. Just insert g(x) into the x of f(x)

f(x) = 3x

3(4x^2 + 1)

Distribute the three

3(4x^2 + 1)

12x^3 + 3