HMMT November 2010 T8

A function $f(x, y)$ is linear in $x$ and in $y . f(x, y)=\frac{1}{x y}$ for $x, y \in\{3,4\}$ . What is $f(5,5)$ ?

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{1}{36}

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