Rational Expression Restrictions

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What is a rational expression?

Back

A rational expression is a fraction where the numerator and the denominator are both polynomials.

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x cannot be equal to 3.

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What is an excluded value?

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An excluded value is a value that makes the denominator of a rational expression equal to 0.

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What does it mean for a rational expression to be undefined?

Back

A rational expression is undefined for values that make the denominator equal to 0.

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What is the domain of a rational expression?

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The domain of a rational expression is the set of all real numbers except for the excluded values.

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How do you find excluded values in a rational expression?

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Set the denominator equal to 0 and solve for the variable.

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x cannot be equal to 4.

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x cannot be equal to 2 or -2.

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x cannot be equal to 1 or -1.

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The expression is undefined because the denominator becomes 0.