Find f(g(x)) f(x)=5x-3 , g(x)=x+2

$f (x) = 5 x - 3$ , $g (x) = x + 2$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (x + 2)$ by substituting in the value of $g$ into $f$ .

$f (x + 2) = 5 (x + 2) - 3$

Step 3

Simplify each term.

Apply the distributive property.

$f (x + 2) = 5 x + 5 \cdot 2 - 3$

Multiply $5$ by $2$ .

$f (x + 2) = 5 x + 10 - 3$

Step 4

Subtract $3$ from $10$ .

$f (x + 2) = 5 x + 7$