Answer
The function written in the fractional form as $f\left( x \right)=\frac{P\left( x \right)}{Q\left( x \right)}$ (where $P\left( x \right),Q\left( x \right)$ are the polynomial functions of x, and $Q\left( x \right)\ne 0$ ) is called the rational function.
Work Step by Step
A function $f\left( x \right)$ is the rational function if it is written in the form
$f\left( x \right)=\frac{P\left( x \right)}{Q\left( x \right)}$
Where $P\left( x \right),Q\left( x \right)$ are the polynomial functions of x, and $Q\left( x \right)$ cannot be a zero function.
The domain of function f is all real numbers except the zero of the polynomial $Q\left( x \right)$.
For example, let the function f be given as:
$f\left( x \right)=\frac{{{x}^{2}}-4}{x+3}$
In the above function, $P\left( x \right)={{x}^{2}}-4$ and $Q\left( x \right)=x+3$. So, the domain of f is $\mathbb{R}-\left\{ -3 \right\}$.
