Find g(f(x)) f(x)=x+18 , g(x)=x-18

$f (x) = x + 18$ , $g (x) = x - 18$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (x + 18)$ by substituting in the value of $f$ into $g$ .

$g (x + 18) = (x + 18) - 18$

Step 3

Combine the opposite terms in $(x + 18) - 18$ .

Subtract $18$ from $18$ .

$g (x + 18) = x + 0$

Add $x$ and $0$ .

$g (x + 18) = x$