Find (f∘g)(x).

Question

f(x)=3x+6
g(x)=2x2
Write your answer as a polynomial in simplest form.
(f∘g)(x)=

Answer 1

To find (f∘g)(x), we need to substitute g(x) into f(x).

First, find g(x):
g(x) = 2x^2

Next, substitute g(x) into f(x):
f(g(x)) = 3(g(x)) + 6
= 3(2x^2) + 6
= 6x^2 + 6

Therefore, (f∘g)(x) = 6x^2 + 6.