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Joint Entrance Examination
Mathematics
Inverse Trigonometric Functions
Question 143
Question 143 of 155
Hard
MCQ
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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Official solution
\[ - 1 \le 2{x^2} - 3 0\]
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