Find f(g(x)) f(x)=x+24 , g(x)=x-24

$f (x) = x + 24$ , $g (x) = x - 24$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (x - 24)$ by substituting in the value of $g$ into $f$ .

$f (x - 24) = (x - 24) + 24$

Step 3

Combine the opposite terms in $(x - 24) + 24$ .

Add $- 24$ and $24$ .

$f (x - 24) = x + 0$

Add $x$ and $0$ .

$f (x - 24) = x$