Consider  $f\left(x\right)=\frac{(x^2-1)(x^2-9)}{g\left(x\right)},x\in R-\{a,b\},$ where $g\left(x\right)$ is a polynomial of degree $\underset{\_}{<}4.$  $f\left(x\right)$ has a removable type of discontinuity at $x=a$ and  $x=b$. The following three bits of information are also known
i) $\underset{x\to \infty }{\lim }f\left(x\right)=\infty$        ii) $\underset{x\to 1}{\lim }f\left(x\right)=-4$        iii)  $\underset{x\to 3}{\lim }f\left(x\right)=anon-zerofinitenumber$
Let L and M denotes the number of points of discontinuity and the number of points of non-differentiability of  $y=\left|f\left(\left|x\right|\right)\right|$ respectively in R (the set of all real numbers), then the value of L/M is