Let $$ f(x)=2 x+2 $$ and $$ g(x)=3 x^{2}+2 x $$ After simplifying, $$ (f \circ g)(x)=\square $$

Question

UpStudy AI · Accepted Answer

To find (f ∘ g)(x), we substitute g(x) into f(x):

1. Write down the functions:
  f(x) = 2x + 2
  g(x) = 3x² + 2x

2. Substitute g(x) into f(x):
  (f ∘ g)(x) = f(g(x)) = 2(3x² + 2x) + 2

3. Simplify the expression:
  = 6x² + 4x + 2

Thus, (f ∘ g)(x) = 6x² + 4x + 2.
$$ (f \circ g)(x) = 6x^{2} + 4x + 2 $$

Let \( f(x)=2 x+2 \) and \( g(x)=3 x^{2}+2 x \) After simplifying, \( (f \circ g)(x)=\square \)