The domain of the function \(f(x)=\sqrt{x-\sqrt{1-x^2}}\) is

\(\left[-1,-\frac{1}{\sqrt{2}}\right] \cup\left[\frac{1}{\sqrt{2}}, 1\right]\)

\([-1,1]\)

\(\left(-\infty ,-\frac{1}{2}\right]\cup \left[\frac{1}{\sqrt{2}},\infty \right)\)

\(\left[\frac{1}{\sqrt{2}}, 1\right]\)