Set, Relation and FunctionHard

Question

The domain of the function f (x) =

is

Options

A.(0, ∞)

B.( - ∞, 0)

C.( - ∞, ∞) - {0}

D.( - ∞, ∞)

Solution

⇒ |x| - x > 0 ⇒ |x| > x ⇒ x is negative
x ∈ ( - ∞, 0)

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