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JEE MATHEMATICS MCQ: FUNCTIONS

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Analyzing +4 | -1
The domain of definition of
f(x)=log⁡0.5{−log⁡2(3x−13x+2)},  isf\left( x \right) = {\log _{0.5}}\left\{ { - {{\log }_2}\left( {\frac{{3x - 1}}{{3x + 2}}} \right)} \right\},\;\mathrm{is}
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Correct option: C
(1/3,∞)\left( {1/3,\infty } \right)
Option C ( (1/3, ∞) ) is correct because it satisfies the conditions for the logarithm to be defined, ensuring the arguments are positive.

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