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 $f$ .

$f (x + 2) = (x + 2) - 2$

Combine the opposite terms in $(x + 2) - 2$ .

Subtract $2$ from $2$ .

$f (x + 2) = x + 0$

Add $x$ and $0$ .

$f (x + 2) = x$