Find f(g(x)) f(x)=x+2 g(x)=x^2

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

Set up the composite result function.

$f (g (x))$

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

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

Remove parentheses.

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