Finite Math Examples

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

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.

$f (x) = (x)$

Simplify the result.

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Remove parentheses.

$f (x) = x$

The final answer is $x$ .

$x$

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 $x$ to get $2 x$ .

$g (x) = 2 x$

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.

$(x) \cdot (2 x)$

Simplify.

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Move $x$ .

$2 (x x)$

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

$2 x^{1 + 1}$

Add $1$ and $1$ to get $2$ .

$2 x^{2}$

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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