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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

Let f : R R be a continuous and differentiable function such that f(x+y) = f(x) f(y) x, y , f(x) 0 and f(0) = 1 and f'(0) = 2 . Let g(xy) = g(x) g(y) x, y and g'(1) = 2; g(1) 0 The number of values of x , where f(x) = g(x) :

Options

  1. A0
  2. B1
  3. C2
  4. D3

Correct answer

B. 1

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