Find g(f(x)) f(x)=x+23 , g(x)=x-23

$f (x) = x + 23$ , $g (x) = x - 23$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (x + 23)$ by substituting in the value of $f$ into $g$ .

$g (x + 23) = (x + 23) - 23$

Step 3

Combine the opposite terms in $(x + 23) - 23$ .

Subtract $23$ from $23$ .

$g (x + 23) = x + 0$

Add $x$ and $0$ .

$g (x + 23) = x$