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Question
The domain of the function f defined by f(x) = `1/sqrt(x - |x|)` is ______.
Options
R
R+
R–
None of these
Solution
none of these
Explanation:
Given that f(x) = `1/sqrt(x - |x|)`
Where `x - |x| = {{:(x - x = 0, "if" x ≥ 0),(2x, "if" x < 0):}`
Thus `1/sqrt(x - |x|)` is not defined for any x ∈ R.
Hence f is not defined for any x ∈ R.
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