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Black Book Advanced Problems in MathematicsMathematicsFunctions

Let f(x) is continuous function with range [-1, 1] and f(x) is defined x R . If g(x) = e^ f(x) - e^ |f(x)| e^ f(x) + e^ |f(x)| , then range of g(x) is :

Options

  1. A[0, 1]
  2. B[ 0, e^2 + 1 e^2 - 1 ]
  3. C[ 0, e^2 - 1 e^2 + 1 ]
  4. D[ -e^2 + 1 e^2 + 1 , 0 ]

Correct answer

D. [ -e^2 + 1 e^2 + 1 , 0 ]

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