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Question
Difficulty Level:

Medium

MCQ

Let ff be a function defined on the set of positive rational numbers with the property that f(ab)=f(a)+f(b)f(a \cdot b)=f(a)+f(b) for all positive rational numbers aa and bb.
Suppose that ff also has the property that f(p)=pf(p)=p for every prime number pp. For which of the following numbers xx is f(x)<0f(x)< 0 ?

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