Bennett W.

asked • 05/24/21

A rational expression is restricted so that x≠4, −7. What is a possible denominator of the expression

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Mark M. answered • 05/24/21

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/ (x - 4)(x + 7)

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Robert B.

Instead of just giving the answer, I might have phrased the response this way... The denominator cannot be zero, so anything that would result in a zero in the denominator would not be allowed. So, we have two values that x cannot be equal to. That means (x - 4) cannot be zero and (x + 7) cannot be zero. Since both evaluations have to be in the denominator, we have /(x - 4) times /(x + 7) = /(x - 4)(x + 7).
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05/24/21

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