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KCET2011MathematicsInverse Trigonometric Functions

The domain of f(x)= ⁻¹ [ ₂ ( x 2 ) ] is

Options

  1. A0 x 1
  2. B0 x 4
  3. C1 x 4
  4. D4 x 6

Correct answer

C. 1 x 4

Step-by-step solution

Given function, f(x)= ⁻¹ [ ₂ ( x 2 ) ] Since, -1 x -1 -1 ₂ ( x 2 ) 1 2⁻¹ x / 2 2¹ 2⁰ x 2² 1 x 4 Required domain is x [1,4] .

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