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Black Book Advanced Problems in MathematicsMathematicsFunctions

Let g : R -> R be given by g(x) = 3 + 4x if g^n(x) = g o g o g ... o g(x) n times. Then inverse of g^n(x) is equal to :

Options

  1. A(x + 1 - 4^n) * 4^ -n
  2. B(x - 1 + 4^n) * 4^ -n
  3. C(x + 1 + 4^n) * 4^ -n
  4. DNone of these

Correct answer

A. (x + 1 - 4^n) * 4^ -n

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