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Black Book Advanced Problems in MathematicsMathematicsFunctions

Let f(x) = cases x^2 & 0 < x < 2 2x - 3 & 2 x < 3 x + 2 & x 3 cases , then the true equations :

Options

  1. Af (f (f ( 3 2 ) ) ) = f ( 3 2 )
  2. B1 + f (f (f ( 5 2 ) ) ) = f ( 5 2 )
  3. Cf(f(f(2))) = f(1)
  4. Df(f(f( f(4)) ) _ 1004 times = 2012

Correct answer

A. f (f (f ( 3 2 ) ) ) = f ( 3 2 )

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