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Examples

g (x) = \frac{12 x^{3} + 7 x^{2} - 1}{x^{2} + x}

$g (x) = \frac{12 x^{3} + 7 x^{2} - 1}{x^{2} + x}$

Step 1

A rational function is any function which can be written as the ratio of two polynomial functions where the denominator is not

0

$0$ .

g (x) = \frac{12 x^{3} + 7 x^{2} - 1}{x^{2} + x}

$g (x) = \frac{12 x^{3} + 7 x^{2} - 1}{x^{2} + x}$ is a rational function

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[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$