Example of Determining the Domain of the Rational Function
To find the domain of the rational function , determine which values make the denominator equal to zero and exclude them.
Step 1. Set the denominator equal to zero: .
Step 2. Solve the equation. Begin by factoring out the greatest common factor: . Then, factor the trinomial: . Apply the Zero Product Property by setting each variable factor to zero: or . Solving these equations gives and .
Step 3. State the domain by excluding the values found in Step 2. Thus, the domain of is all real numbers where and .
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Ch.7 Rational Expressions and Functions - Intermediate Algebra @ OpenStax
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Example of Determining the Domain of the Rational Function
Example of Determining the Domain of the Rational Function
Example of Determining the Domain of the Rational Function
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