Let f: R → R be a function defined as f(x)= {3(1-(|x|)/2), if |x| ≤ 2; 0, if |x|>2} Let g: R → R be given by g(x)=f(x+2)-f(x-2). If n and m denote…

Let $\displaystyle f: \mathrm{R} \rightarrow \mathrm{R}$ be a function defined as $\displaystyle f(x)=\left\{\begin{array}{cl}3\left(1-\frac{|x|}{2}\right) & \text { if }|x| \leq 2 \\ 0 & \text { if }|x|>2\end{array}\right.$ Let $\displaystyle g: \mathbf{R} \rightarrow \mathbf{R}$ be given by $\displaystyle g(x)=f(x+2)-f(x-2)$. If n and m denote the number of points in R where $\displaystyle g$ is not continuous and not differentiable, respectively, then $\displaystyle \mathrm{n}+\mathrm{m}$ is equal to \_\_\_\_.