The domain of the function ^ -1 ( 2 ^ -1 ( 1 4 x^ 2 -1 ) ) is

Mathematics · JEE Main · NTA Exams — Relations , Functions & Inverse Trigonometric Functions

The domain of the function \[\cos ^{-1}\left(\frac{2 \sin ^{-1}\left(\frac{1}{4 x^{2}-1}\right)}{\pi}\right)\]is

Answer
(C)

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If f(x)=2 ^ -1 x+ ^ -1 ( 2 x 1+x^ 2 ), x>1 , then f (5) is equal to

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