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Omni-MATH / Let R^(+) be the set of positive real numbers. Determine all functions f:R^(+) → R^(+) such that for all positive real numbers x and y: f(x+f(xy))+y=f(x)f(y)+1 [i]Ukraine

Problem

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problem

Let R+R^+ be the set of positive real numbers. Determine all functions f:R+f:R^+ →\rightarrow R+R^+ such that for all positive real numbers xx and y:y: f(x+f(xy))+y=f(x)f(y)+1f(x+f(xy))+y=f(x)f(y)+1 [i]Ukraine
Plain-text mathematical notation (without MathML)
Let R^(+) be the set of positive real numbers. Determine all functions f:R^(+) → R^(+) such that for all positive real numbers x and y:
           f(x+f(xy))+y=f(x)f(y)+1

[i]Ukraine
Original LaTeX notation
Let $R^+$ be the set of positive real numbers. Determine all functions $f:R^+$ $\rightarrow$ $R^+$ such that for all positive real numbers $x$ and $y:$
           $$f(x+f(xy))+y=f(x)f(y)+1$$

[i]Ukraine

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Source and history

task_id
12bd540e-0877-554d-9bdb-c8d398ab5c93
task_key
test--12bd540e-0877-554d-9bdb-c8d398ab5c93
task_revision_id
1
config / split
/ test

Official source

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