Mathematics · 2022
JEE Main · 27 July 2022, Shift 2 · Q1
The domain of the function f(x)= sin^-1[2 x^2-3]+ log_2( log_(1/2)(x^2-5 x+5)), where [ t ] is the greatest integer function, is:
The domain of the function $\displaystyle f(x)=\sin ^{-1}\left[2 x^2-3\right]+\log _2\left(\log _{\frac{1}{2}}\left(x^2-5 x+5\right)\right)$, where $\displaystyle [\mathrm{t}]$ is the greatest integer function, is :
Official answer
(3)
$\displaystyle \left(1, \frac{5-\sqrt{5}}{2}\right)$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.