Find f(g(x)) f(x)=x+2 and g(x)=x-2

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

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 $(x - 2) + 2$ .

Add $- 2$ and $2$ .

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

Add $x$ and $0$ .

$f (x - 2) = x$