اگر $f\left( x \right)=\left\{ \begin{matrix}
\sqrt{{{x}^{2}}-1}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,x\ge 1 \\
\left| 1-4{{x}^{2}} \right|\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,-1\lt x\lt 1 \\
\frac{1}{\sqrt{1-x}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,x\le -1 \\
\end{matrix} \right.$ باشد، مقدار $\frac{\sqrt{2}f\,\left( 3f\left( 0 \right) \right)}{4f\left( \frac{1}{2}f\left( -3 \right) \right)}$ کدام است؟