Question

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

(A) R 

(B) R⁺

(C) R^– 

(D) None of these

Answer 1

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.