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JEE Main202126 Aug 2021Evening ShiftMathematicsFunctionsActual

The domain of the function cosec - 1 1 + x x is :

Options

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

Correct answer

A. - 1 2 , ∞ - 0

Step-by-step solution

Domain of cos e c - 1 x is x ≤ - 1   o r   x ≥ 1 1 + x x ≤ - 1 or 1 + x x ≥ 1 1 + x + x x ≤ 0 or 1 + x - x x ≥ 0 2 x + 1 x ≤ 0 or 1 x ≥ 0 x ∈ - 1 2 , 0 or x ∈ ( 0 , ∞ ) x ∈ - 1 2 , ∞ - 0

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