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The domain of the function y = 1/√|x| - x is

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The domain of the function y = 1/√|x| - x is

(A)  (−∞ 0)

(B)  (−∞, 0]

(C)   (−∞ ,−1)

(D)  (−∞, ∞)

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1 Answer

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Best answer

Correct option   (A)  (−∞ 0)

Explanation :

It should be |x| - x > 0. That is,

|x| > x

However, |x| = x for x positive and  |x| > x for x negative. So, the domain is (−∞ ,0).

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