In mathematics, a rational function is any function which can be written as the ratio of two polynomial functions. Neither the coefficients of the polynomials nor the values taken by the function are necessarily rational numbers.
Definitions
In the case of one variable, x\,, a function is called a rational function if and only if it can be written in the form
: f(x) = \frac{P(x)}{Q(x)}
where P\, and Q\, are polynomial functions in x\, and Q\, is not the zero polynomial. The domain of f\, is the set of all points x\, for which the denominator Q(x)\, is not zero, where one assumes that t...