Mathematics · 2021
JEE Main · 31 August 2021, Shift 2 · Q79
The domain of the function f(x)= sin^-1((3 x^2+x-1)/((x-1)^2))+ cos^-1((x-1)/(x+1)) is:
The domain of the function
$$f(x)=\sin ^{-1}\left(\frac{3 x^2+x-1}{(x-1)^2}\right)+\cos ^{-1}\left(\frac{x-1}{x+1}\right) \text { is : }
$$
Official answer
(3)
$\displaystyle \left[\frac{1}{4}, \frac{1}{2}\right] \cup\{0\}$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.