Tho damnin of tho finction $\cos ^{-1}\left(\frac{2 \sin ^{-1}\left(\frac{1}{4 x^{2}-1}\right)}{\pi}\right)$ is

  • [JEE MAIN 2022]
  • A

    $R-\left\{-\frac{1}{2}, \frac{1}{2}\right\}$

  • B

    $(-\infty,-1] \cup[1, \infty) \cup\{0\}$

  • C

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

  • D

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

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