olymmath

TH-TMO 2021 Problem 7

    Determine all functions f:R+→Rf : \mathbb R^+ \to \mathbb R that satisfy the equation f(xy)=f(x)f(y)f(x+y)f(xy) = f(x)f(y)f(x+y) for all positive real numbers xx and yy .

    Dataset text AI-MO AoPS. Quoted with source.

    Solutions

    No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

    Add a solution

    Similar problems

    These problems have the most words in common with this statement.

    Locator th-tmo/2021/p7 · Tag MAF74KQYSD · Edit this page on GitHub · Keys: j next, k previous