Domain Of A Rational Function

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Domain of a rational function. Given a rational function find the domain. Domain of a rational function let y f x be a function. The domain of a rational function consists of all the real numbers x except those for which the denominator is 0.

To find these x values to be excluded from the domain of a rational function equate the denominator to zero and solve for x. A rational function is simply a fraction and in a fraction the denominator cannot equal zero because it would be undefined. A function is expressed as.

This website uses cookies to ensure you get the best experience. For example the domain of the parent function f x 1 x is the set of all real numbers except x 0. Then the domain of a function is the set of all possible values of x for which f x is defined.

Here are the steps required for finding the domain of a rational function. The domain is only influenced by the zeroes of the denominator. In this case x 0.

Let f x be a real valued function. The graph exists for all values of x except 0. The domain of a rational function includes all real numbers except those that cause the denominator to equal zero.

To find these x values to be excluded from the domain of a rational function equate the denominator to zero and solve for x for example the domain of the rational function is the set of all real numbers except x 0. This can easily be verified by examining the graph of y 1 x shown below. We first need to understand that 1 x takes real values only if the denominator is not equal to 0.