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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 is correct because it satisfies the conditions for the logarithm to be defined: the argument must be greater than 0, and the base must be greater than 0 and not equal to 1.

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