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Random Mathematics - Trigonometry Practice

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Question 1
trigonometry > inverse-trigonometric-functions

The domain of the function f(x)=sin⁡−1 ⁣(3x2+x−1(x−1)2)+cos⁡−1 ⁣(x−1x+1)f(x) = \sin^{-1}\!\left(\dfrac{3x^2+x-1}{(x-1)^2}\right) + \cos^{-1}\!\left(\dfrac{x-1}{x+1}\right) is

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