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Let f(x)={{:([x]",",-2lexle-(1)/(2)),(2x^(2)-1",",-(1)/(2)ltxle2):}" and "g(x)=f(|x|)+|f(x)| [where [x] represents the greatest integer function.] The number of points where |f(x)| is non -differentiable is -

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Answer :A


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