1.
If the domain of the function
f(x)=cos⁡−1x2−x+1sin⁡−1(2x−12)f(x)=\frac{\cos^{-1}\sqrt{x^2-x+1}}{\sqrt{\sin^{-1}\left(\frac{2x-1}{2}\right)}}
is the interval (α,β](\alpha,\beta], then α+β\alpha+\beta is equal to: