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

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

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

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

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

Step 3

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

Add $- 2$ and $2$ .

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

Add $x$ and $0$ .

$g (x - 2) = x$