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The domain of a rational function consists of all the real numbers x except those for which the denominator is 0.
Domain and zeros of a rational function. Now f of x is defined for any number of x unless q of x the denominator equals zero so the domain will be all real numbers except those that make the denominator 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. A reciprocal function cannot have values in its domain that cause the denominator to equal zero.
For example the domain of the parent function f x 1 x is the set of all real numbers except x 0. And the zeros of a rational function will be the zeros of the numerator just as long as they are not also zeros of the denominator so let s practice using these definitions in an example. 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.
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