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JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1
If f:R→Rf: R \rightarrow R is defined by f(x)=2x+∣x∣f(x)=2 x+|x|, then f(3x)−f(−x)−4xf(3 x)-f(-x)-4 x equals
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Correct option: D
2f(x)2 f(x)
Option D (2 f(x)) is correct because after evaluating f(3x) and f(-x) and simplifying, the expression equals 2f(x).

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