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Question:

The domain of the function f(x) = 1/√|x| - x is

(-∞,∞)

(0,∞)

(-∞,∞)-0

(-∞,0)

Solution:

Given function is f(x) = 1/√|x| - x ⇒ f(x) is defined if |x| > 0 = |x| > 0 = x < 0 So domain of f(x) is (-∞,0).