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JEE Math Practice Question

The domain of the function $${{\mathop{\rm cosec}\nolimits} ^{ - 1}}\left( {{{1 + x} \over x}} \right)$$ is :

  1. A.$$\left( { - 1, - {1 \over 2}} \right] \cup (0,\infty )$$
  2. B.$$\left[ { - {1 \over 2},0} \right) \cup [1,\infty )$$
  3. C.$$\left( { - {1 \over 2},\infty } \right) - \{ 0\} $$
  4. D.$$\left[ { - {1 \over 2},\infty } \right) - \{ 0\} $$

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