>< 3 Times Function Makes a Composition! ><

Algebra Level 5

A function defined from the positive integers to the positive integers satisfies 0<f(a)<f(b) 0 < f(a) < f(b) for all a<b a < b . In addition, this function f f satisfies f(f(x))=3x f(f(x))=3x . Find f(2015)+f(2014)+f(2013)3f(2012). f(2015)+f(2014)+f(2013)-3 f(2012) .

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