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To check if the function \( f(x, y) = (x^3 + y + 1, x^2 + y^2) \) is locally invertible at the point \( (1, 2) \), we can apply the Inverse Function Theorem. According to this theorem, a function is locally invertible at ____ ____ ________ _______ _______ ___ _____ ____ ______ _____ ________ ____.
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