olymmath

US-TST 2024 Problem 6

    Solve over R\mathbb{R} the functional equation

    f(xf(y))+f(y)=f(x+y)+f(xy).f(x f(y)) + f(y) = f(x + y) + f(x y).

    Dataset text NuminaMath olympiads. 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

    Locator us-tst/2024/p6 · Tag W3Z1BZTWGX · Edit this page on GitHub · Keys: j next, k previous