Find f(g(x)) f(x)=x+25 , g(x)=x-25

$f (x) = x + 25$ , $g (x) = x - 25$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (x - 25)$ by substituting in the value of $g$ into $f$ .

$f (x - 25) = (x - 25) + 25$

Step 3

Combine the opposite terms in $(x - 25) + 25$ .

Add $- 25$ and $25$ .

$f (x - 25) = x + 0$

Add $x$ and $0$ .

$f (x - 25) = x$