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Mathematics · 2020

JEE Main · 7 January 2020, Shift 1 · Q74

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

Let $\displaystyle S$ be the set of points where the function, $\displaystyle f(x)=|2-|x-3||, x \in \mathbf{R}$, is not differentiable.Then $\displaystyle \sum_{x \in S} f(f(x))$ is equal to \_\_\_\_.
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