Find f(g(x)) f(x)=x+12 , g(x)=x-12

$f (x) = x + 12$ , $g (x) = x - 12$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (x - 12)$ by substituting in the value of $g$ into $f$ .

$f (x - 12) = (x - 12) + 12$

Step 3

Combine the opposite terms in $(x - 12) + 12$ .

Add $- 12$ and $12$ .

$f (x - 12) = x + 0$

Add $x$ and $0$ .

$f (x - 12) = x$