The domain of the function $f(x) = \frac{1}{[x]-1}$,where $[x]$ is the greatest integer function of $x$,is

If the domain of the function $f(x) = \cos^{-1}\left(\frac{2-|x|}{4}\right) + (\log_e(3-x))^{-1}$ is $[-\alpha, \beta) \setminus \{\gamma\}$,then $\alpha + \beta + \gamma$ is equal to:

The domain of the function $f(x) = \sqrt{x - x^2} + \sqrt{4 + x} + \sqrt{4 - x}$ is

The range of the function $f(x) = [x] - x$ is

The domain of the real-valued function $f(x) = \sqrt{\frac{2x^2 - 7x + 5}{3x^2 - 5x - 2}}$ is

What is the range of the function $h(x) = \frac{x-2}{x+3}$?