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JEE Main202621 January 2026Morning ShiftMathematicsInverse Trigonometric FunctionsActual

If the domain of the function f(x)= ⁻¹ ( 2 x-5 11-3 x )+ ⁻¹ (2 x²-3 x+1 ) is the interval [ , ] , then +2 is equal to :

Options

  1. A3
  2. B5
  3. C1
  4. D2

Correct answer

A. 3

Step-by-step solution

For ⁻¹ ( 2x-5 11-3x ) : -1 2x-5 11-3x 1 gives x 16 5 or x > 6 . For ⁻¹(2x^2 - 3x + 1) : -1 2x^2 - 3x + 1 1 . Lower bound always satisfied (discriminant Upper bound gives x(2x-3) 0 , so 0 x 3 2 . Intersection of both conditions: [0, 3 2 ] . Thus = 0 , = 3 2 . + 2 = 0 + 3 = 3 .

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