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

The domain of the function $f(x) = \sin^{-1}[\log_2(x/2)]$ is

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

The domain of $\sin^{-1} \left[ \log_3 \left( \frac{x}{3} \right) \right]$ is

Let $f:(-1, 1) \to B$ be a function defined by $f(x) = \tan^{-1}\left(\frac{2x}{1-x^2}\right)$. Then $f$ is both one-one and onto when $B$ is the interval:

The function $f(x) = \sin^{-1}(\sqrt{x})$ is defined in the interval: