Inverting 4-digits numbers.

Let \(n\) be a four digits number with non-zero units digit. Let \(f(n)\) be the number that we get from inverting the order of the digits of \(n\), for example : \(f(3259)=9523\).

Find \(n\) such that \(f(n)=4n+3 \).


Note : remember that \( n\) is a four digits number with non-zero units digit.

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