olymmath

Putnam 2022 B6

  • Session B

Find all continuous functions f:R+→R+f: \mathbb{R}^+ \to \mathbb{R}^+ such that f(xf(y))+f(yf(x))=1+f(x+y)f(xf(y)) + f(yf(x)) = 1 + f(x+y) for all x,y>0x,y > 0.

Curated text Kedlaya Putnam archive. Quoted with source.

Solutions

Human solution Solution 1 by Manjul Bhargava, Kiran Kedlaya and Lenny Ng

The terms of the source let olymmath link to this solution but not copy it. Read the solution (Kedlaya Putnam archive).

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