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Omni-MATH / Let f(n) be a function defined on the set of all positive integers and having its values in the same set. Suppose that f(f(n) plus{} f(m)) equal{} m plus{} n for all positive inte…

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problem

Let f(n) f(n) be a function defined on the set of all positive integers and having its values in the same set. Suppose that $ f(f(n) \plus{} f(m)) \equal{} m \plus{} n$ for all positive integers n,m. n,m. Find the possible value for f(1988). f(1988).
Plain-text mathematical notation (without MathML)
Let f(n) be a function defined on the set of all positive integers and having its values in the same set. Suppose that $ f(f(n) \plus{} f(m)) \equal{} m \plus{} n$ for all positive integers n,m. Find the possible value for f(1988).
Original LaTeX notation
Let $ f(n)$ be a function defined on the set of all positive integers and having its values in the same set. Suppose that $ f(f(n) \plus{} f(m)) \equal{} m \plus{} n$ for all positive integers $ n,m.$ Find the possible value for $ f(1988).$

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