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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Choose the correct alternative: If the function f(x)=sin-1(x2-3), then x belongs to - Mathematics

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Question

Choose the correct alternative:

If the function `f(x) = sin^-1 (x^2 - 3)`, then x belongs to

Options

  • [– 1, 1]

  • `[sqrt(2), 2]`

  • `[-2, sqrt(2)] ∪ [sqrt(2), 2]`

  • `[- 2 -sqrt(2)]`

MCQ

Solution

`[-2, sqrt(2)] ∪ [sqrt(2), 2]`

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Sine Function and Inverse Sine Function
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Chapter 4: Inverse Trigonometric Functions - Exercise 4.6 [Page 167]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 4 Inverse Trigonometric Functions
Exercise 4.6 | Q 11 | Page 167
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