Find f(g(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.

$f (g (x))$

Step 2

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

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

Step 3

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

Add $- 2$ and $2$ .

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

Add $x$ and $0$ .

$f (x - 2) = x$