Find f(g(x)) f(x)=3x+6 , g(x)=2x^2

$f (x) = 3 x + 6$ , $g (x) = 2 x^{2}$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (2 x^{2})$ by substituting in the value of $g$ into $f$ .

$f (2 x^{2}) = 3 (2 x^{2}) + 6$

Step 3

Multiply $2$ by $3$ .

$f (2 x^{2}) = 6 x^{2} + 6$