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Let f x = 10 - x - 5 , x ∈ R , then the set of all values of x at which f f x is not differentiable is

Options

  1. A0,5 , 10
  2. B5,10
  3. C0,5 , 10,15
  4. D5,10,15

Correct answer

A. 0,5 , 10

Step-by-step solution

f f x = 10 - f x - 5 = 10 - 10 - x - 5 - 5 = 10 - 5 - x - 5 ⇒ 10 - x - 5 - 5 Points where f f x is non-differentiable are x - 5 = 0 & x - 5 = 5 x = 5 & x = 0 , 10

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