The domain of the function f( x )= x - 1- x ^ 2 is

Mathematics · JEE Advanced · NTA ExamsSets, Relations and Functions

The domain of the function \(f(\mathrm{x})=\sqrt{\mathrm{x}-\sqrt{1-\mathrm{x}^{2}}}\) is
  1. \(\left[-1,-\frac{1}{\sqrt{2}}\right] \cup\left[\frac{1}{\sqrt{2}}, 1\right]\)
  2. [–1, 1]
  3. \(\left(-\infty,-\frac{1}{2}\right] \cup\left[\frac{1}{\sqrt{2}}, \infty\right)\)
  4. \(\left[\frac{1}{\sqrt{2}}, 1\right]\)

Answer

(D) [ 1 2 , 1 ]

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