Find (f∘g)(x).
f(x)=6x+2
g(x)=2x2
Write your answer as a polynomial in simplest form.
(f∘g)(x)=
To find (f∘g)(x), we need to substitute g(x) into f(x).
Substituting g(x)=2x^2 into f(x)=6x+2, we have:
(f∘g)(x) = 6(2x^2) + 2
= 12x^2 + 2
Therefore, (f∘g)(x) = 12x^2 + 2
To find (f∘g)(x), we need to substitute g(x) into f(x) and simplify.
First, substitute g(x) = 2x^2 into f(x):
f(g(x)) = 6(2x^2) + 2
Simplify:
f(g(x)) = 12x^2 + 2
Therefore, (f∘g)(x) = 12x^2 + 2.
To find (f∘g)(x), we need to first find g(x) and then substitute it into f(x).
Given:
f(x) = 6x + 2
g(x) = 2x^2
Step 1: Find g(x)
g(x) = 2x^2
Step 2: Substitute g(x) into f(x)
(f∘g)(x) = f(g(x))
Substitute g(x) into f(x):
(f∘g)(x) = f(2x^2)
Substitute g(x) = 2x^2 into f(x):
(f∘g)(x) = 6(2x^2) + 2
Simplify:
(f∘g)(x) = 12x^2 + 2
Therefore, the polynomial form of (f∘g)(x) is 12x^2 + 2.