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

Let f:R→R be a function defined as f(x)=⎧⎪⎪⎨⎪⎪⎩3(1−|

1.	Let f:R→R be a function defined as f(x)=⎧⎪⎪⎨⎪⎪⎩3(1−\|x\|2)if\|x\|≤20if \|x\|>2Let 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
Answer» Let $f : R \to R$ be a function defined as $f (x) = ⎧ ⎪⎪ ⎨ ⎪⎪ ⎩ \begin{matrix} 3 (1 - \frac{\| x \|}{2}) & if & \| x \| \leq 2 0 & if & \| x \| > 2 \end{matrix}$ 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