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MHT CET202613 April 2026Morning ShiftMathematicsFunctionsActual

The domain of the function f(x) = e^ 5x - 3 - 2x^2 is

Options

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

Correct answer

C. [1, 3 2 ]

Step-by-step solution

For the function f(x) = e^ 5x - 3 - 2x^2 to be defined, the expression inside the square root must be non-negative. 5x - 3 - 2x^2 0 2x^2 - 5x + 3 0 2x^2 - 2x - 3x + 3 0 2x(x - 1) - 3(x - 1) 0 (2x - 3)(x - 1) 0 1 x 3 2 The domain of the function is [1, 3 2 ] . Answer: [1, 3 2 ]

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