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Omni-MATH / Find all functions f,g:R→R such that f(x+yg(x))=g(x)+xf(y) for x,y∈R.

Problem

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problem

Find all functions

f,g

R \to R

such that

f(x+yg(x))=g(x)+xf(y)

for

x,y \in R

Plain-text mathematical notation (without MathML)

Find all functions f,g:R→R such that f(x+yg(x))=g(x)+xf(y) for x,y∈R.

Original LaTeX notation

Find all functions $f,g$:$R \to R$ such that $f(x+yg(x))=g(x)+xf(y)$ for $x,y \in R$.

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Source and history

task_id: 2cea3741-58a0-537e-bfce-e93aeed163fa
task_key: test--2cea3741-58a0-537e-bfce-e93aeed163fa
task_revision_id: 2
config / split: / test

Official source

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