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Black Book Advanced Problems in MathematicsMathematicsQuadratic Equation

Consider the functions f₁(x) = x and f₂(x) = 2 + _e x, x > 0 , where e is the base of natural logarithm. The graphs of the functions intersect :

Options

  1. Aonce in (0, 1) and never in (1, )
  2. Bonce in (0, 1) and once in (e^2, )
  3. Conce in (0, 1) and once in (e, e^2)
  4. Dmore than twice in (0, ) .

Correct answer

C. once in (0, 1) and once in (e, e^2)

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