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

The range of the function $f(x) = \frac{x}{x^2 - 5x + 9}$ is

The sum of the least positive integer and the greatest negative integer in the range of the function $f(x) = \frac{x^2-5x+7}{x^2-5x-7}$ is

Find the domain of the function $f(x) = \frac{x^{2}+2x+1}{x^{2}-8x+12}$.

Find the range of the following function:
$f(x) = x$,where $x$ is a real number.

If the functions are defined as $f(x) = \sqrt{x}$ and $g(x) = \sqrt{1-x}$,then what is the common domain of the following functions: $f+g, f-g, f/g, g/f, g-f$ where $(f \pm g)(x) = f(x) \pm g(x)$ and $(f/g)(x) = \frac{f(x)}{g(x)}$?