Find f(g(x)) f(x)=x+3 , g(x)=x-3

$f (x) = x + 3$ , $g (x) = x - 3$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (x - 3)$ by substituting in the value of $g$ into $f$ .

$f (x - 3) = (x - 3) + 3$

Step 3

Combine the opposite terms in $(x - 3) + 3$ .

Add $- 3$ and $3$ .

$f (x - 3) = x + 0$

Add $x$ and $0$ .

$f (x - 3) = x$