Find f(g(x)) f(x)=7x+14 , g(x)=4x-1

$f (x) = 7 x + 14$ , $g (x) = 4 x - 1$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (4 x - 1)$ by substituting in the value of $g$ into $f$ .

$f (4 x - 1) = 7 (4 x - 1) + 14$

Step 3

Simplify each term.

Apply the distributive property.

$f (4 x - 1) = 7 (4 x) + 7 \cdot - 1 + 14$

Multiply $4$ by $7$ .

$f (4 x - 1) = 28 x + 7 \cdot - 1 + 14$

Multiply $7$ by $- 1$ .

$f (4 x - 1) = 28 x - 7 + 14$

Step 4

Add $- 7$ and $14$ .

$f (4 x - 1) = 28 x + 7$