Find f(g(x)) f(x)=3x+9 , g(x)=5x^2

$f (x) = 3 x + 9$ , $g (x) = 5 x^{2}$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (5 x^{2})$ by substituting in the value of $g$ into $f$ .

$f (5 x^{2}) = 3 (5 x^{2}) + 9$

Step 3

Multiply $5$ by $3$ .

$f (5 x^{2}) = 15 x^{2} + 9$