Find f(g(x)) f(x)=x+5 , g(x)=5x+5

$f (x) = x + 5$ , $g (x) = 5 x + 5$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (5 x + 5)$ by substituting in the value of $g$ into $f$ .

$f (5 x + 5) = (5 x + 5) + 5$

Step 3

Add $5$ and $5$ .

$f (5 x + 5) = 5 x + 10$