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MHT CET202210 Aug 2022Morning ShiftMathematicsDifferentiationActual

Let f(x)=15-|x-10| ; x R . Then, the set of all values of x , at which the function g(x)=f(f(x)) is not differentiable, is

Options

  1. A10
  2. B10,15
  3. C5,10,15,20
  4. D5,10,15

Correct answer

D. 5,10,15

Step-by-step solution

aligned & f(x)=15-|x-10| & f(f(x))=f(15-|x-10|) & =15-|15-| x-10|-10| & =15-|5-| x-10|| aligned graph has 3 corner points x=5, x=10 and x=15 So, it is not differentiable at x 5,10,15

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