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Question
The domain of the function f(x) = `1/sqrt(|x| - x)` is ______.
Options
(0, ∞)
(–∞, 0)
(–∞, ∞) – {0}
(–∞, ∞)
MCQ
Fill in the Blanks
Solution
The domain of the function f(x) = `1/sqrt(|x| - x)` is (–∞, 0).
Explanation:
`1/sqrt(|x| - x)`
⇒ |x| – x > 0
⇒ |x| > x
⇒ x < 0
⇒ x is negative
Therefore, x ∈ (–∞, 0)
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