The domain of the function f( x )= x - 1- x ^ 2 is
Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions
The domain of the function \(f(\mathrm{x})=\sqrt{\mathrm{x}-\sqrt{1-\mathrm{x}^{2}}}\) is
- \(\left[-1,-\frac{1}{\sqrt{2}}\right] \cup\left[\frac{1}{\sqrt{2}}, 1\right]\)
- [–1, 1]
- \(\left(-\infty,-\frac{1}{2}\right] \cup\left[\frac{1}{\sqrt{2}}, \infty\right)\)
- \(\left[\frac{1}{\sqrt{2}}, 1\right]\)
Answer
(D) [ 1 2 , 1 ]
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