Question

Which expression defines a rational function?

Options

• A function of the form \[\frac{P(x)}{Q(x)}\], where \[P(x)\] and \[Q(x)\] are polynomials and \[Q(x)\ne0\].

• A function in which \[P(x)\] is not a polynomial.

• A function of the form \[P(x)+Q(x)\], where \[Q(x)=0\].

• A function of the form \[\frac{Q(x)}{0}\].

Answer 1

A rational function has the form \[\frac{P(x)}{Q(x)}\]. Both \[P(x)\] and \[Q(x)\] must be polynomials, with \[Q(x)\ne0\].