Question
The domain of the function \( \cos ^{-1}\left(\frac{2 \sin ^{-1}\left(\frac{1}{4 x^{2}-1}\right)}{\pi}\right) \) is :
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 \( \left(-\infty, \frac{-1}{\sqrt{2}}\right] \cup\left[\frac{1}{\sqrt{2}}, \infty\right) \cup\{0\} \)
