The domain of \(\sqrt{| x|-x}\) is

The domain of \(\sqrt{| x|-x}\) is
  1. \((-\infty, 0)\)
  2. \((0, \infty)\)
  3. \((-\infty, \infty)\)
  4. \(R-\{0\}\)

Solution

Given function \(\sqrt{| x|-x}\) is define, if \(| x| \geq x\) \(\Rightarrow \quad x \in \mathbf{R}\) Hence, option (c) is correct.

Asked in: AP EAMCET 2020 (21 Sep Shift 2)

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