Find g(f(x)) f(x)=x+4 g(x)=x-4

$f (x) = x + 4$ $g (x) = x - 4$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (x + 4)$ by substituting in the value of $f$ into $g$ .

$g (x + 4) = (x + 4) - 4$

Step 3

Combine the opposite terms in $(x + 4) - 4$ .

Subtract $4$ from $4$ .

$g (x + 4) = x + 0$

Add $x$ and $0$ .

$g (x + 4) = x$