Question

Let f(x)=4x+4 and g(x)=3x² +4x. After simplifying, (f∘g)(x)=--------

Answer 1

To find (f∘g)(x), substitute g(x) into f(x) and then simplify the expression.

Step-by-step explanation:

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

Given f(x) = 4x + 4 and g(x) = 3x² + 4x, we substitute g(x) into f(x) as follows:

(f∘g)(x) = f(g(x)) = f(3x² + 4x)

Now substitute 3x² + 4x into f(x):

(f∘g)(x) = 4(3x² + 4x) + 4

Next, simplify the expression:

(f∘g)(x) = 12x² + 16x + 4