Precalculus Examples

$f (x) = 4 x$ , $g (x) = 6 x + 2$

Step 1

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

$(4 x) \cdot (6 x + 2)$

Step 2

Simplify.

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Step 2.1

Simplify by multiplying through.

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Step 2.1.1

Apply the distributive property.

$4 x (6 x) + 4 x \cdot 2$

Step 2.1.2

Simplify the expression.

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Step 2.1.2.1

Rewrite using the commutative property of multiplication.

$4 \cdot 6 x \cdot x + 4 x \cdot 2$

Step 2.1.2.2

Multiply $2$ by $4$ .

$4 \cdot 6 x \cdot x + 8 x$

Step 2.2

Simplify each term.

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Step 2.2.1

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

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Step 2.2.1.1

Move $x$ .

$4 \cdot 6 (x \cdot x) + 8 x$

Step 2.2.1.2

Multiply $x$ by $x$ .

$4 \cdot 6 x^{2} + 8 x$

Step 2.2.2

Multiply $4$ by $6$ .

$24 x^{2} + 8 x$

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