The domain of the function \( \operatorname{cosec}^{-1}\left(\frac{...

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