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  • https://math.libretexts.org/Courses/SUNY_Schenectady_County_Community_College/Discrete_Structures/06%3A_Functions/6.05%3A_Inverse_Functions
    This also means that if we start with a subset \(f\) of \(A \times B\) that satisfies conditions in Equation \ref{6.5.1} and \ref{6.5.2}, then we can consider \(f\) to be a function from \(A\) to \(B\...This also means that if we start with a subset \(f\) of \(A \times B\) that satisfies conditions in Equation \ref{6.5.1} and \ref{6.5.2}, then we can consider \(f\) to be a function from \(A\) to \(B\) by using \(b = f(a)\) whenever \((a, b)\) is in \(f\). In the situation where \(f: A \to B\) is a bijection and \(f^{-1}\) is a function from \(B\) to \(A\), we can write \(f^{-1}: B \to A\).

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