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MHT CET202616 April 2026Evening ShiftMathematicsFunctionsActual

If e^x + e^ f(x) = e , then the domain of f(x) is

Options

  1. A(1, )
  2. B(- , 1)
  3. C(- , )
  4. D(- , 0)

Correct answer

B. (- , 1)

Step-by-step solution

Given e^x + e^ f(x) = e e^ f(x) = e - e^x Taking natural logarithm on both sides, we get f(x) = (e - e^x) For f(x) to be defined, the argument of the logarithm must be strictly positive. e - e^x > 0 e^x x Therefore, the domain of f(x) is (- , 1) . Answer: (- , 1)

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