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The domain of the function \( \operatorname{cosec}^{-1}\left(\frac{1+x}{x}\right) \) is: [JEE Main 2021, 26 Aug (Shift 2…

Q1

The domain of the function \( \operatorname{cosec}^{-1}\left(\frac{1+x}{x}\right) \) is:

[JEE Main 2021, 26 Aug (Shift 2)]

a

\( \left(-1,-\frac{1}{2}\right] \cup(0, \infty) \)

b

\( \left[-\frac{1}{2}, 0\right) \cup[1, \infty) \)

c

\( \left(-\frac{1}{2}, \infty\right)-\{0\} \)

d

\( \left[-\frac{1}{2}, \infty\right)-\{0\} \)

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