Find (f∘g)(x).
f(x)=3x+6
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).
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.
To find (f∘g)(x), we need to substitute g(x) into f(x).
First, let's evaluate g(x):
g(x) = 2x^2
Now, substitute g(x) into f(x):
f(g(x)) = 3(g(x)) + 6
Substitute g(x) = 2x^2 into f(g(x)):
f(g(x)) = 3(2x^2) + 6
Multiply 3 by 2x^2:
f(g(x)) = 6x^2 + 6
Therefore, (f∘g)(x) = 6x^2 + 6.
To find (f∘g)(x), we need to find the composition of the two functions f(x) and g(x). The composition means that we substitute g(x) into f(x) wherever we see an x.
Given:
f(x) = 3x + 6
g(x) = 2x^2
To find (f∘g)(x), we substitute g(x) into f(x):
(f∘g)(x) = f(g(x))
= f(2x^2)
= 3(2x^2) + 6
= 6x^2 + 6
Therefore, (f∘g)(x) is a polynomial in simplest form:
(f∘g)(x) = 6x^2 + 6