Medium· Domain and range of inverse functions· +4 / −1The domain of the function cos−1(2sin−1(14x2−1)π)\cos^{-1}\left(\dfrac{2\sin^{-1}\left(\dfrac{1}{4x^2-1}\right)}{\pi}\right)cos−1π2sin−1(4x2−11) is :AR−{−12,12}\mathbb R-\left\{-\dfrac12,\dfrac12\right\}R−{−21,21}B(−∞,−1]∪[1,∞)∪{0}(-\infty,-1]\cup[1,\infty)\cup\{0\}(−∞,−1]∪[1,∞)∪{0}C(−∞,−12)∪(12,∞)∪{0}\left(-\infty,-\dfrac12\right)\cup\left(\dfrac12,\infty\right)\cup\{0\}(−∞,−21)∪(21,∞)∪{0}D(−∞,−12]∪[12,∞)∪{0}\left(-\infty,-\dfrac{1}{\sqrt2}\right]\cup\left[\dfrac{1}{\sqrt2},\infty\right)\cup\{0\}(−∞,−21]∪[21,∞)∪{0}Check answerJust show me the answer