Find f(g(x)) f(x)=10x , g(x)=x+3

$f (x) = 10 x$ , $g (x) = x + 3$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (x + 3)$ by substituting in the value of $g$ into $f$ .

$f (x + 3) = 10 (x + 3)$

Step 3

Apply the distributive property.

$f (x + 3) = 10 x + 10 \cdot 3$

Step 4

Multiply $10$ by $3$ .

$f (x + 3) = 10 x + 30$