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

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

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (x - 6)$ by substituting in the value of $f$ into $g$ .

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

Step 3

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

Add $- 6$ and $6$ .

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

Add $x$ and $0$ .

$g (x - 6) = x$