Find g(f(x)) f(x)=x+5 , g(x)=x-5

$f (x) = x + 5$ , $g (x) = x - 5$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (x + 5)$ by substituting in the value of $f$ into $g$ .

$g (x + 5) = (x + 5) - 5$

Step 3

Combine the opposite terms in $(x + 5) - 5$ .

Subtract $5$ from $5$ .

$g (x + 5) = x + 0$

Add $x$ and $0$ .

$g (x + 5) = x$