The domain of the function $f(x) = \sqrt{x}$ is

Range of the function $\frac{1}{2 - \sin 3x}$ is

For the function $f(x) = \left[ \frac{1}{[x]} \right]$, where $[x]$ denotes the greatest integer less than or equal to $x$, which of the following statements is true?

The domain of the function $f(x) = \sin^{-1}\left[\log_4\left(\frac{x}{4}\right)\right] + \sqrt{17x - x^2 - 16}$ is

The domain of the function $f(x) = \frac{1}{\sqrt{|x|-x}}$ is

The domain of the definition of the function $y(x)$ given by the equation $2^x+2^y=2$ is