Concept

Domain of a Rational Function

The domain of a rational function consists of all real numbers except for those specific values that would cause the denominator of its defining rational expression to evaluate to zero. Because division by zero is mathematically undefined, any xx-value that makes the denominator polynomial q(x)=0q(x) = 0 must be excluded from the domain. Thus, identifying the domain relies on determining the values that make the rational expression undefined.

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Updated 2026-04-30

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Ch.7 Rational Expressions and Functions - Intermediate Algebra @ OpenStax

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