# The domain of the function f defined by f (x)

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

(A) R

(B) R+

(C) R

(D) None of these

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The correct answer is (D). Given that  f(x) = 1/√(x - |x|)

where

Thus  f(x) = 1/√(x - |x|) is not defined for any x ∈ R.

Hence f is not defined for any x ∈ R, i.e. Domain of f is none of the given options.