6

Part of 2007 QEDMO 5th

Problems(1)

functional equation

Source: interesting problems in algebra

Find all functions

f: \mathbb{R}\to\mathbb{R}

that satisfy the equation: f\left(\left(f\left(x\right)\right)^2 \plus{} f\left(y\right)\right) \equal{} xf\left(x\right) \plus{} y for any two real numbers

x

y

functionalgebra solvedalgebra