Questions in fun-lim

Select	Question
	Domain of the function $f(x)={{\sin }^{-1}}(1+3x+2{{x}^{2}})$ is
	Domain of the function $f(x)=\frac{{{x}^{2}}-3x+2}{{{x}^{2}}+x-6}$ is
	Domain of $f(x)={{({{x}^{2}}-1)}^{-1/2}}$ is
	The domain of the function $y=\frac{1}{\sqrt{\|x\|\ -x}}$ is
	The natural domain of the real valued function defined by $f(x)=\sqrt{{{x}^{2}}-1}+\sqrt{{{x}^{2}}+1}$ is
	The domain of the function $f(x)=\exp (\sqrt{5x-3-2{{x}^{2}}})$ is
	The domain of the function $f(x)=\frac{{{\sin }^{-1}}(x-3)}{\sqrt{9-{{x}^{2}}}}$ is
	The range of $f(x)=\sec \left( \frac{\pi }{4}{{\cos }^{2}}x \right)\,,\ -\infty < x < \infty $ is
	Range of the function $f(x)=\frac{{{x}^{2}}+x+2}{{{x}^{2}}+x+1};\ x\in R$ is
	If $f(x)=a\cos (bx+c)+d$, then range of $f(x)$ is