Questions in fun-lim

Select	Question
	If $f(x)=\frac{x-3}{x+1}$, then $f[f\{f(x)\}]$ equals
	If $f(x)=\cos (\log x)$, then the value of $f(x).f(4)-\frac{1}{2}\left[ f\left( \frac{x}{4} \right)+f(4x) \right]$
	If $f(x)=\frac{x-\|x\|}{\|x\|}$, then $f(-1)=$
	If $f(x)=4{{x}^{3}}+3{{x}^{2}}+3x+4$, then ${{x}^{3}}f\left( \frac{1}{x} \right)$ is
	Let $f:R\to R$ be defined by $f(x)=2x+\|x\|$, then $f(2x)+f(-x)-f(x)=$
	If $f(x+ay,\ x-ay)=axy$, then $f(x,\ y)$ is equal to
	If $f(x)=\cos [{{\pi }^{2}}]x+\cos [-{{\pi }^{2}}]x$, then
	If $f(x)=\frac{1}{\sqrt{x+2\sqrt{2x-4}}}+\frac{1}{\sqrt{x-2\sqrt{2x-4}}}$ for $x>2$, then $f(11)=$
	If ${{e}^{f(x)}}=\frac{10+x}{10-x},\ x\in (-10,\ 10)$ and $f(x)=kf\left( \frac{200x}{100+{{x}^{2}}} \right)$, then $k=$
	If $f(x)=2\sin x$, $g(x)={{\cos }^{2}}x$, then $(f+g)\left( \frac{\pi }{3} \right)=$