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

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MathematicsContinuity - DifferentiabilityDifferentiabilityMedium2 minPYQ_2020

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

Answer:

3.00

Solution:

Check non-differentiability of function, we get,

$∵ f (x)$ is non differentiable at $x = 1, 3, 5$
$\sum f (f (x)) = f (f (1)) + f (f (3)) + f (f (5))$
$= 1 + 1 + 1$
$= 3$

Stream:JEESubject:MathematicsTopic:Continuity - DifferentiabilitySubtopic:Differentiability

⏱ 2mℹ️ Source: PYQ_2020

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