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JEE MATHEMATICS MCQ: FUNCTIONS

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Analyzing +4 | -1
The domain of the function f(x)=sin⁡−1(x−3)9−x2,f\left( x \right) = \frac{{{{\sin }^{ - 1}}\left( {x - 3} \right)}}{{\sqrt {9 - {x^2}} }}, is
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Correct option: B
[2,  3)\left[ {2,\;3} \right)
Option B is correct because it satisfies both conditions: -1 <= x-3 <= 1 and 9 - x2 > 0, considering the denominator cannot be zero.

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