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Inverse Trigonometric Functions question

2022 · 27 Jul · Shift 2 · Q22

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JEE Main
Mathematics
Inverse Trigonometric Functions
2022 · 27 Jul · Shift 2 · Q22

Inverse Trigonometric Functions question

2022 · 27 Jul · Shift 2 · Q22

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1

The domain of the function

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 [t] is the greatest integer function, is :

A
$\left(-\sqrt{\frac{5}{2}}, \frac{5-\sqrt{5}}{2}\right)$
B
$\left(\frac{5-\sqrt{5}}{2}, \frac{5+\sqrt{5}}{2}\right)$
C
$\left(1, \frac{5-\sqrt{5}}{2}\right)$
D
$\left[1, \frac{5+\sqrt{5}}{2}\right)$

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