Find f(g(x)) f(x)=x+4 and g(x)=x-4

$f (x) = x + 4$ and $g (x) = x - 4$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (x - 4)$ by substituting in the value of $g$ into $f$ .

$f (x - 4) = (x - 4) + 4$

Step 3

Combine the opposite terms in $(x - 4) + 4$ .

Add $- 4$ and $4$ .

$f (x - 4) = x + 0$

Add $x$ and $0$ .

$f (x - 4) = x$