Find the Product f(x)=x , g(x)=4x-1

$f (x) = x$ , $g (x) = 4 x - 1$

Step 1

Replace the function designators with the actual functions in $f (x) \cdot (g (x))$ .

$(x) \cdot (4 x - 1)$

Step 2

Simplify.

Simplify by multiplying through.

Apply the distributive property.

$x (4 x) + x \cdot - 1$

Reorder.

Rewrite using the commutative property of multiplication.

$4 x \cdot x + x \cdot - 1$

Move $- 1$ to the left of $x$ .

$4 x \cdot x - 1 \cdot x$

Simplify each term.

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$4 (x \cdot x) - 1 \cdot x$

Multiply $x$ by $x$ .

$4 x^{2} - 1 \cdot x$

Rewrite $- 1 x$ as $- x$ .

$4 x^{2} - x$