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Omni-MATH / Let Z be the set of all integers. Find all the function f:Z−>Z such that

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problem

Let ZZ be the set of all integers. Find all the function f:Z−>Zf: Z->Z such that f(4x+3y)=f(3x+y)+f(x+2y)f(4x+3y)=f(3x+y)+f(x+2y) For all integers x,yx,y
Plain-text mathematical notation (without MathML)
Let Z be the set of all integers. Find all the function f:Z−>Z such that
f(4x+3y)=f(3x+y)+f(x+2y)
For all integers x,y
Original LaTeX notation
Let $Z$ be the set of all integers. Find all the function $f: Z->Z$ such that
$f(4x+3y)=f(3x+y)+f(x+2y)$
For all integers $x,y$

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