Let S be the set of points where the function, f(x) = |2-{|x-3|}|, x \in R, is not differentiable. Then \sum_{x\inS }f(f(x)) is equal to __________. [7-Jan-2020 Shift 1]

JEE Main 7 Jan 2020 Shift 1 Solved Paper

Section: Mathematics

Question : 75 of 75

Marks: +1, -0

Let S be the set of points where the function, f(x)=|2−|x−3||,x∈R, is not differentiable.
Then

∑

x∈S

f(f(x)) is equal to __________.

[7-Jan-2020 Shift 1]

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