Determine the domain of the function.
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A) x

Question

Determine the domain of the function.
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A) x < 2 
B) No solution 
C) All real numbers 
D) All real numbers except 2

Quizplus · Accepted Answer

There are no restrictions or limitations on the input of the function except that x cannot equal 2. Therefore, the domain of the function is all real numbers except 2, which is represented as D = (-∞,2) U (2,∞). The function has no denominators, square roots, or logarithms, which means there are no restrictions on x. Therefore, the domain is all real numbers except for any values that make the function undefined. In this case, the function is undefined when x = 2 (division by zero), so the domain is all real numbers except for 2. Therefore, the correct choice is D.

Determine the Domain of the Function