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Which domain restrictions apply to this rational expression? Options:

A. x ≠ -4
B. x ≠ -2
C. x ≠ 0
D. x ≠ 2
E. x ≠ 4

User Lee Stott
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1 Answer

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Final answer:

The question lacks the specific rational expression needed to determine the domain restrictions. Domain restrictions usually arise from denominators in rational expressions; they're the values that make the denominator zero and therefore are not part of the function's domain. A particular expression's domain restriction would depend on its denominator. The correct answer is option A. x ≠ -4

Step-by-step explanation:

The question appears to be missing crucial information regarding the rational expression for which domain restrictions are being asked. However, domain restrictions for a rational expression typically depend on the denominator of the expression since division by zero is undefined. If the expression was, for example, (2)/(x+4), then x cannot equal -4 because it would make the denominator zero, resulting in an undefined expression.

Similarly, if the expression had denominators like (x+2), (x), or (x-2), then the respective restrictions would be x ≠ -2, x ≠ 0, or x ≠ 2. If we encountered a term like (1)/(x^2-16), which factors to (1)/((x+4)(x-4)), the restrictions would be x ≠ 4 and x ≠ -4, corresponding to making either factor in the denominator equal to zero.

User Kyle Campos
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