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

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

Find the domain and range of the following real function:
$f(x) = -|x|$

$\left\{x \in R: \frac{2 x-1}{x^3+4 x^2+3 x} \in R\right\}$ equals

Function $f:(2, \infty) \rightarrow R$ defined by $f(x) = x^2 - 4x + 5$. The range of $f$ is $=$ . . . . . . .

If a real valued function $f:[-1,2] \rightarrow B$ defined by $f(x) = \begin{cases} 1-x, & -1 \leq x \leq 1 \\ x-1, & 1 < x \leq 2 \end{cases}$ is a surjection,then $B=$