The domain and range of $f(x) = \frac{|x - 3|}{x - 3}$ are respectively:

The domain and range of $f(x) = \frac{1}{\sqrt{|x| - x^2}}$ are $A$ and $B$ respectively. Then $A \cup B =$

The function $f:R \to R$ is defined by $f(x) = \cos^2 x + \sin^4 x$ for $x \in R$,then $f(R) \in $

If the range of the function $f(x) = \frac{5-x}{x^2-3x+2}$,$x \neq 1, 2$,is $(-\infty, \alpha] \cup [\beta, \infty)$,then $\alpha^2 + \beta^2$ is equal to :

The range of values of the function $f(x) = \frac{1}{2 - 3\sin x}$ is

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