Question
Let f:R→R be a function defined as f(x)=⎧⎪
⎪⎨⎪
⎪⎩3(1−|x|2)if|x|≤20if |x|>2
Let g:R→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