Find g(f(x)) f(x)=x+10 , g(x)=x-10

$f (x) = x + 10$ , $g (x) = x - 10$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (x + 10)$ by substituting in the value of $f$ into $g$ .

$g (x + 10) = (x + 10) - 10$

Step 3

Combine the opposite terms in $(x + 10) - 10$ .

Subtract $10$ from $10$ .

$g (x + 10) = x + 0$

Add $x$ and $0$ .

$g (x + 10) = x$