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

If the domain of the function $f(x) = \sin^{-1}\left(\frac{5-x}{3+2x}\right) + \frac{1}{\log_e(10-x)}$ is $(-\infty, \alpha] \cup [\beta, \gamma) - \{\delta\}$,then $6(\alpha + \beta + \gamma + \delta)$ 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 $\cos ^{-1} x = y$,then . . . . . . .

The range of $\left|\cos ^{-1} x\right|$ is . . . . . . .

The domain of the function $\cos^{-1}\left(\frac{2 \sin^{-1}\left(\frac{1}{4x^2-1}\right)}{\pi}\right)$ is