Find g(h(x)) g(x)=x-6 h(x)=x+6

$g (x) = x - 6$ $h (x) = x + 6$

Step 1

Set up the composite result function.

$g (h (x))$

Step 2

Evaluate $g (x + 6)$ by substituting in the value of $h$ into $g$ .

$g (x + 6) = (x + 6) - 6$

Step 3

Combine the opposite terms in $(x + 6) - 6$ .

Subtract $6$ from $6$ .

$g (x + 6) = x + 0$

Add $x$ and $0$ .

$g (x + 6) = x$