Domain Of A Rational Function

Enter the function you want to domain into the editor.

Domain of a rational function. Let us consider the rational function given below. A rational function is simply a fraction and in a fraction the denominator cannot equal zero because it would be undefined. Here are the steps required for finding the domain of a rational function. To find which numbers make the fraction undefined create an equation where the denominator is not equal to zero.

Click the blue arrow to submit and see the result. Examples with solutions example 1 find the domain of the function f defined by solution to example 1 f x can take real values if the denominator of f x is not zero because division by zero is not allowed in mathematics x 2 0 solve the above inequality for to obtain the domain. The domain of a rational function consists of all the real numbers x except those for which the denominator is 0. If there is any value of x for which y is undefined we have to exclude that particular value from the set of domain.

Domain of a rational function. In this video i explain how to find the domain of a rational function. How to find the domain of a rational fundtion. Inequalities system of equations system of inequalities basic operations algebraic properties partial fractions polynomials rational expressions sequences power sums induction logical sets.

A function basically relates an input to an output there s an input a. Y 1 x 2. For instance the domain of cosine would be all real numbers while the domain of the square root would only be numbers greater than or equal to 0 ignoring complex numbers in both cases. Domain is all real values of x for which y is defined.

A reciprocal function cannot have values in its domain that cause the denominator to equal zero. Domain of a given function is the set of input values for which the function is defined. So the domain of your given function could not be x 2. In general to find the domain of a rational function we need to determine which inputs would cause division by zero.

In this video i explain how to find the domain of a rational function. A vertical asymptote represents a value at which a rational function is undefined so that value is not in the domain of the function. To find these x values to be excluded from the domain of a rational function equate the denominator to zero and solve for x.