Questions in fun-lim

Select	Question
	Inverse of the function $y=2x-3$ is
	Let the function f be defined by $f(x)=\frac{2x+1}{1-3x}$, then ${{f}^{-1}}(x)$ is
	If $f(x)={{x}^{2}}+1$, then ${{f}^{-1}}(17)$ and ${{f}^{-1}}(-3)$will be
	Let $f(x)=\sin x+\cos x,\ g(x)={{x}^{2}}-1$. Thus $g(f(x))$ is invertible for $x\in $
	If $f(x)=\frac{2x-1}{x+5}$$(x\ne -5)$, then ${{f}^{-1}}(x)$ is equal to
	If f be the greatest integer function and g be the modulus function, then $(gof)\left( -\frac{5}{3} \right)-(fog)\left( -\frac{5}{3} \right)=$
	If $f(x)=2x$ and g is identity function, then
	If $f(x)={{x}^{2}}-1$ and $g(x)=3x+1$, then $(gof)(x)=$
	If f is an exponential function and g is a logarithmic function, then $fog(1)$ will be
	If $f(x)={{e}^{2x}}$ and $g(x)=\log \sqrt{x}$$(x>0)$, then $fog(x)$ is equal to