MathDB

SMO 2015 open q3

Source: SMO 2015 open

March 31, 2018

Problem Statement

Find all functions

f : \mathbb{R} \rightarrow \mathbb{R}

, where

\mathbb{R}

is the set of real numbers, such that f(x)f(yf(x) - 1) = x^2 f(y) - f(x) \forall x,y \in \mathbb{R}