Find f(g(x)) f(x)=2x+1 , g(x)=x+14

$f (x) = 2 x + 1$ , $g (x) = x + 14$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (x + 14)$ by substituting in the value of $g$ into $f$ .

$f (x + 14) = 2 (x + 14) + 1$

Step 3

Simplify each term.

Apply the distributive property.

$f (x + 14) = 2 x + 2 \cdot 14 + 1$

Multiply $2$ by $14$ .

$f (x + 14) = 2 x + 28 + 1$

Step 4

Add $28$ and $1$ .

$f (x + 14) = 2 x + 29$