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

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

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

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

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

Step 3

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

Subtract $3$ from $3$ .

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

Add $x$ and $0$ .

$g (x + 3) = x$