If $f: R-\{2\} \rightarrow R$ is a function defined by $f(x)=\frac{x^2-4}{x-2}$,then the range is

The range of the function $f(x) = \frac{e^x \ln x \cdot 5^{(x^2 + 2)}(x^2 - 7x + 10)}{2x^2 - 11x + 12}$ is

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

Let $f : R \rightarrow R$ be a function defined by $f(x) = \log_{\sqrt{m}}\{\sqrt{2}(\sin x - \cos x) + m - 2\}$,for some $m$,such that the range of $f$ is $[0, 2]$. Then the value of $m$ is $............$

Let $f: R - \{2, 6\} \rightarrow R$ be a real-valued function defined as $f(x) = \frac{x^2+2x+1}{x^2-8x+12}$. Then the range of $f$ is

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