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An Interesting High-School Maths Problem

Question Given \[f\left ( x \right )-\frac{1}{3}f\left ( \frac{x}{3} \right )=x,\] find \(f\left ( x \right )\). Alternative solution: We derive the following equations, \[f\left ( x \right )-\frac{1}{3}f\left ( \frac{

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