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Omni-MATH / Denote by Q^(+) the set of all positive rational numbers. Determine all functions f : mathbb{Q}^+ mapsto mathbb{Q}^+ which satisfy the following equation for all x,y∈Q^(+): …

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Denote by Q+\mathbb{Q}^+ the set of all positive rational numbers. Determine all functions $f : \mathbb{Q}^+ \mapsto \mathbb{Q}^+$ which satisfy the following equation for all x,y∈Q+:x, y \in \mathbb{Q}^+: f(f(x)2y)=x3f(xy).f\left( f(x)^2y \right) = x^3 f(xy). [i]
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Denote by Q^(+) the set of all positive rational numbers. Determine all functions $f : \mathbb{Q}^+ \mapsto \mathbb{Q}^+$ which satisfy the following equation for all x,y∈Q^(+): f(f(x)²y)=x³f(xy).

[i]
Original LaTeX notation
Denote by $\mathbb{Q}^+$ the set of all positive rational numbers. Determine all functions $f : \mathbb{Q}^+ \mapsto \mathbb{Q}^+$ which satisfy the following equation for all $x, y \in \mathbb{Q}^+:$ \[f\left( f(x)^2y \right) = x^3 f(xy).\]

[i]

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task_id
843cffc5-4933-5e88-b4ea-0df16ee18cdc
task_key
test--843cffc5-4933-5e88-b4ea-0df16ee18cdc
task_revision_id
1
config / split
/ test

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