Find f(g(x)) f(x)=x+15 , g(x)=x-15

$f (x) = x + 15$ , $g (x) = x - 15$

Set up the composite result function.

$f (g (x))$

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

$f (x - 15) = (x - 15) + 15$

Combine the opposite terms in $(x - 15) + 15$ .

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Add $- 15$ and $15$ .

$f (x - 15) = x + 0$

Add $x$ and $0$ .

$f (x - 15) = x$

Find f(g(x)) f(x)=x+15 , g(x)=x-15