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Black Book Advanced Problems in MathematicsMathematicsFunctions

Let f(x) = | |x^2 - 4x + 3| - 2 | . Which of the following is/are correct ?

Options

  1. Af(x) = m has exactly two real solutions of different sign m > 2
  2. Bf(x) = m has exactly two real solutions m (2, ) 0
  3. Cf(x) = m has no solutions m < 0
  4. Df(x) = m has four distinct real solution m (0, 1)

Correct answer

A. f(x) = m has exactly two real solutions of different sign m > 2

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