Find f(g(x)) f(x)=7x+7 , g(x)=6x^2

$f (x) = 7 x + 7$ , $g (x) = 6 x^{2}$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (6 x^{2})$ by substituting in the value of $g$ into $f$ .

$f (6 x^{2}) = 7 (6 x^{2}) + 7$

Step 3

Multiply $6$ by $7$ .

$f (6 x^{2}) = 42 x^{2} + 7$