1.

Let f(x)=⎧⎪⎪⎨⎪⎪⎩[x];−2≤x≤−122x2−1;−12<x≤2 and g(x)=f(|x|)+|f(x)|, where [.] represents the greatest integer function. The number of points where g(x) is non-differentiable is

Answer»

Let f(x)=⎧⎪
⎪⎨⎪
⎪⎩[x];−2≤x≤−122x2−1;−12<x≤2 and g(x)=f(|x|)+|f(x)|, where [.] represents the greatest integer function. The number of points where g(x) is non-differentiable is



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