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MHT CET202620 April 2026Evening ShiftMathematicsFunctionsActual

If f(x) = 2x - 1 x + 5 , x -5 then f⁻¹(x) is equal to

Options

  1. Ax + 5 2x - 1 , x 1 2
  2. B5x + 1 2 - x , x 2
  3. C5x - 1 2 - x , x 2
  4. Dx - 5 2x + 1 , x - 1 2

Correct answer

B. 5x + 1 2 - x , x 2

Step-by-step solution

Let y = 2x - 1 x + 5 y(x + 5) = 2x - 1 xy + 5y = 2x - 1 x(y - 2) = -5y - 1 x = 5y + 1 2 - y Therefore, f⁻¹(x) = 5x + 1 2 - x , x 2 Answer: 5x + 1 2 - x , x 2

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