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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

If f(x) = cases x & ; if x is rational 1-x & ; if x is irrational cases , then number of points for x R , where y = f(f(x)) is discontinuous is :

Options

  1. A0
  2. B1
  3. C2
  4. DInfinitely many

Correct answer

A. 0

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