Consider  $\text{f}\left(\text{x}\right)\text{=}\frac{({\text{x}}^{\text{2}}-\text{1})({\text{x}}^{\text{2}}-\text{9})}{\text{g}\left(\text{x}\right)}\text{,x}\in \text{\hspace{0.17em}R\hspace{0.17em}}-\left\{\text{a,b}\right\}\text{,}$  where g (x) is a polynomial of degree $\underset{\_}{<}4.$
f(x) has a removable type of discontinuity at x= a and x= b. The following information is also known
(i) $\underset{x\to \pm \infty }{\lim }\text{\hspace{0.17em}f}\left(\text{x}\right)=\infty$    
(ii)  $\underset{x\to 1}{\lim }\text{\hspace{0.17em}f}\left(\text{x}\right)=-4$
(iii) $\underset{x\to -3}{\lim }\text{\hspace{0.17em}f}\left(\text{x}\right)=\text{a}$  non-zero finite number 
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