Find f(g(x)) f(x)=x+8 and g(x)=x-8

$f (x) = x + 8$ and $g (x) = x - 8$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (x - 8)$ by substituting in the value of $g$ into $f$ .

$f (x - 8) = (x - 8) + 8$

Step 3

Combine the opposite terms in $(x - 8) + 8$ .

Add $- 8$ and $8$ .

$f (x - 8) = x + 0$

Add $x$ and $0$ .

$f (x - 8) = x$