Find f(g(x)) f(x)=5x , g(x)=x+7

$f (x) = 5 x$ , $g (x) = x + 7$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (x + 7)$ by substituting in the value of $g$ into $f$ .

$f (x + 7) = 5 (x + 7)$

Step 3

Apply the distributive property.

$f (x + 7) = 5 x + 5 \cdot 7$

Step 4

Multiply $5$ by $7$ .

$f (x + 7) = 5 x + 35$