If the domain of the function \(f(x)=\frac{\cos ^{-1} \sqrt{x^2-x+1}}{\sqrt{\sin ^{-1}\left(\frac{2 x-1}{2}\right)}}\) i…

If the domain of the function \(f(x)=\frac{\cos ^{-1} \sqrt{x^2-x+1}}{\sqrt{\sin ^{-1}\left(\frac{2 x-1}{2}\right)}}\) is the interval \((\alpha, \beta]\), then \(\alpha+\beta\) is equal to:

[JEE Main 2021, 22 Jul (Shift 2)]