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JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1
The domain of definition of the real function f(x)=log⁡12x2f\left( x \right) = \sqrt {{{\log }_{12}}{x^2}} of the real variable xx, is
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Correct option: B
∣x∣≥1\left| x \right| \ge 1
Option B (∣x∣≥1\left| x \right| \ge 1) is correct because the logarithm must be non-negative, meaning log_{16}(x2) >= 0, which implies x2 >= 1, and thus |x| >= 1.

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