Finite Math Examples

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

Distribute the value across the operation.

$f (x) \cdot (g (x))$

Evaluate $f (x)$ .

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Replace the variable $x$ with $x$ in the expression.

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

Simplify the result.

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Multiply $2$ by $x$ .

$f (x) = 2 x + 2$

The final answer is $2 x + 2$ .

$2 x + 2$

Evaluate $g (x)$ .

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Replace the variable $x$ with $x$ in the expression.

$g (x) = 2 (x)$

Simplify the result.

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Multiply $2$ by $x$ .

$g (x) = 2 x$

The final answer is $2 x$ .

$2 x$

Compose the result function for $f (x) \cdot (g (x))$ by replacing the function designators with the actual functions.

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

Simplify.

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Multiply $2 x + 2$ by $2 x$ .

$(2 x + 2) (2 x)$

Apply the distributive property.

$2 x (2 x) + 2 (2 x)$

Move $x$ .

$2 (2 (x x)) + 2 (2 x)$

Simplify $x^{1 + 1}$ .

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Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$2 (2 x^{1 + 1}) + 2 (2 x)$

Add $1$ and $1$ .

$2 (2 x^{2}) + 2 (2 x)$

Multiply $2$ by $2$ .

$2 (2 x^{2}) + 4 x$

Multiply $2$ by $2$ .

$4 x^{2} + 4 x$

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

$(- \infty, \infty)$

${x | x \in ℝ}$

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