What Is The Domain Of A Rational Function

A rational expression is a polynomial fraction and anything you could do with regular fractions you can do with.

What is the domain of a rational function. A rational function is simply a fraction and in a fraction the denominator cannot equal zero because it would be undefined. Set the denominator equal to zero. However if and have a non constant polynomial greatest common divisor then setting and produces a rational function. A function is called a rational function if and only if it can be written in the form where and are polynomial functions of and is not the zero function the domain of is the set of all values of for which the denominator is not zero.

To find which numbers make the fraction undefined create an equation where the denominator is not equal to zero. Enter the function you want to domain into the editor. The domain of a rational function includes all real numbers except those that cause the denominator to equal zero. Domain is all real values of x for which y is defined.

Domain and range of rational functions the domain of a function f x is the set of all values for which the function is defined and the range of the function is the set of all values that f takes. Also a step by step calculator to find domain of a function is included. The domain calculator allows you to take a simple or complex function and find the domain in both interval and set notation instantly. Solve the equation found in step 1.

Index of lessons print this page print friendly version find local tutors. Solve to find the x values that cause the denominator to equal zero. If there is any value of x for which y is undefined we have to exclude that particular value from the set of domain. The domain can also be given explicitly.

Click the blue arrow to submit and see the result. Definition of the domain of a function for a function f defined by an expression with variable x the implied domain of f is the set of all real numbers that variable x can take such that the expression defining the function is real. Given a rational function find the domain. Finding the domain page 1 of 3 sections.

Finding the domain simplifying rational expressions.