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99 Percentile Qs Bank for JEE MainMathematicsInverse Trigonometric Functions

The natural domain of the function f x = sin - 1 ⁡ 2 x + π 3 is

Options

  1. A- 1 2 , 1 2
  2. B- 3 4 , 1 2
  3. C13 4 , 1 2
  4. D- 3 2 , 1

Correct answer

B. - 3 4 , 1 2

Step-by-step solution

Here, 2 x ∈ - 1,1 and sin - 1 ⁡ 2 x + π 3 ≥ 0 Hence, x ∈ - 1 2 , 1 2 and x ≥ - 3 4 So the domain is - 3 4 , 1 2

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