Master Finding the Domain in a Rational Function

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Finding the domain of a rational function involves identifying the values for which the function is defined. In a rational function, set the denominator not equal to zero to avoid division by zero, as this is undefined. Identify any excluded values, such as roots of the denominator or expressions causing undefined results. Additionally, consider constraints imposed by square roots or other radical expressions within the function. The domain represents the valid input values, ensuring the function remains defined for all permissible inputs. This process is crucial in understanding the behavior and restrictions of rational functions in mathematical analysis and problem-solving.

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