Limits Continuity And Differentiability

Let f : R \(\to\) R be a function defined as \(f(x) = \left\{ {\matrix{ {3\left( {1 - {{|x|} \over 2}} \right)} & {if} & {|x|\, \le 2} \cr 0 & {if} & {|x|\, > 2} \cr } } \right.\)

Let g : R \(\to\) R be given by \(g(x) = f(x + 2) - f(x - 2)\). If n and m denote the number of points in R where g is not continuous and not differentiable, respectively, then n + m is equal to ______________.