Find g(f(x)) f(x)=x-3 g(x)=x+3

$f (x) = x - 3$ $g (x) = x + 3$

Set up the composite result function.

$g (f (x))$

Evaluate $g (x - 3)$ by substituting in the value of $f$ into $g$ .

$g (x - 3) = (x - 3) + 3$

Combine the opposite terms in $(x - 3) + 3$ .

Add $- 3$ and $3$ .

$g (x - 3) = x + 0$

Add $x$ and $0$ .

$g (x - 3) = x$