Limits, Continuity and Differentiability Part 2

Section: Mathematics
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Question : 69 of 100
 
Marks: +1, -0
Let f:R→R be a function defined asf(x)={
3(1−
|x|
2
)
if |x|≤2
0if |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 whereg is not continuous and not differentiable,respectively, then n+m is equal to _______.
[22 Jul 2021 Shift 2]
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