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JEE MATHEMATICS MCQ: FUNCTIONS

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The domain of function f(x)=log⁡(x+3)(x2−1)f\left( x \right) = {\log _{\left( {x + 3} \right)}}\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.

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