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The domain of definition of the function $f(x)=-\frac{1}{\sqrt{|x|-x}}$ is |
$R$ (0, ∞) (–∞, 0) none of these |
(–∞, 0) |
If $x ≥ 0, | x | – x > 0 ⇒ x – x > 0$, No solution If $x < 0, | x | – x > 0 ⇒ –x – x > 0, 2x < 0 ⇒ x ∈ (–∞, 0)$ |
