Questions in fun-lim

Select	Question
	Domain of definition of the function $f(x)=\frac{3}{4-{{x}^{2}}}+{{\log }_{10}}({{x}^{3}}-x)$, is
	Domain of the function $f(x)=\sqrt{2-2x-{{x}^{2}}}$ is
	Domain of the function $f(x)=\frac{x-3}{(x-1)\sqrt{{{x}^{2}}-4}}$ is
	Domain of the function $\sqrt{\log \left\{ (5x-{{x}^{2}})/6 \right\}}$ is
	Domain of the function $\sqrt{2-x}-\frac{1}{\sqrt{9-{{x}^{2}}}}$ is
	Domain of the function $\frac{\sqrt{1+x}-\sqrt{1-x}}{x}$ is
	The domain of the function $f(x)=\sqrt{x-{{x}^{2}}}+\sqrt{4+x}+\sqrt{4-x}$ is
	The domain of the function $f(x)={{\sin }^{-1}}\{{{(1+{{e}^{x}})}^{-1}}\}$ is
	The domain of the function $\sqrt{\log ({{x}^{2}}-6x+6)}$ is
	The largest possible set of real numbers which can be the domain of $f(x)=\sqrt{1-\frac{1}{x}}$ is