The range of $\tan^{-1} x$ is

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

If the domain of the function $f(x) = \sin^{-1}\left(\frac{2}{x^2-2x-2}\right)$ is $(-\infty, \alpha] \cup [\beta, \gamma] \cup [\delta, \infty)$,then $\alpha + \beta + \gamma + \delta$ is equal to

If $y = \tan^{-1} x$,then . . . . . . .

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

The domain of the function $f(x) = \frac{\sin^{-1}(x-3)}{\sqrt{9-x^2}}$ is