Questions in fun-lim

Select	Question
	If $f(x)=\|\cos x\|$and $g(x)=[x]$, then $gof(x)$ is equal to
	If $f(x)={{x}^{2}}+1$,then $fof(x)$ is equal to
	If $f(x)=\frac{x}{\sqrt{1+{{x}^{2}}}}$, then $(fofof)(x)=$
	If $\varphi (x)={{x}^{2}}+1$ and $\psi (x)={{3}^{x}}$, then $\varphi \{\psi (x)\}$ and $\psi \{\varphi (x)\}=$
	If $g(x)={{x}^{2}}+x-2$ and $\frac{1}{2}gof(x)=2{{x}^{2}}-5x+2$, then $f(x)$ is
	If $f(x)={{\log }_{a}}x$ and $F(x)={{a}^{x}}$, then $F[f(x)]$ is
	Let f and g be functions defined by $f(x)=\frac{x}{x+1},$$g(x)=\frac{x}{1-x}$, then $(fog)(x)$ is
	If from $R\to R$, $f(x)={{(x+1)}^{2}}$, $g(x)={{x}^{2}}+1$, then $(fog)(-3)$ equals
	Suppose that $g(x)=1+\sqrt{x}$ and $f(g(x))=3+2\sqrt{x}+x$, then $f(x)$ is
	The composite mapping $fog$of the map $f:R\to R$, $f(x)=\sin x$, $g:R\to R$, $g(x)={{x}^{2}}$is