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Black Book Advanced Problems in MathematicsMathematicsFunctions

Let f : D -> R be defined as : f(x) = (x^2 + 2x + a) / (x^2 + 4x + 3a) where D and R denote the domain of f and the set of all real numbers respectively. If f is surjective mapping, then the complete range of a is :

Options

  1. A0 <= a <= 1
  2. B0 < a <= 1
  3. C0 <= a < 1
  4. D0 < a < 1

Correct answer

D. 0 < a < 1

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