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JEE MATHEMATICS MCQ: FUNCTIONS

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The domain of the function f(x)=log⁡3+x(x2−1)f\left( x \right) = {\log _{3 + x}}\left( {{x^2} - 1} \right) is
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Correct option: C
(−3,−2)∪(−2,−1)∪(1,∞)\left( { - 3, - 2} \right) \cup \left( { - 2, - 1} \right) \cup \left( {1,\infty } \right)
Option C ((−3,−2)∪(−2,−1)∪(1,∞)(-3, -2) \cup (-2, -1) \cup (1,\infty)) is correct because it satisfies the conditions for the logarithm to be defined: base > 0, base != 1, and argument > 0.

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