Find g(f(x)) f(x)=x+11 , g(x)=x-11

$f (x) = x + 11$ , $g (x) = x - 11$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (x + 11)$ by substituting in the value of $f$ into $g$ .

$g (x + 11) = (x + 11) - 11$

Step 3

Combine the opposite terms in $(x + 11) - 11$ .

Subtract $11$ from $11$ .

$g (x + 11) = x + 0$

Add $x$ and $0$ .

$g (x + 11) = x$