What would the multifunctional inverse of $F(x)=|x|$ be, assuming $x$ is on the complex plane. Also, how would this usually be represented? Note that this won't be a 'true' function. (But assume a multivalued function is considered a function for simplicity's sake.)
2026-03-25 23:39:43.1774481983
What would the multifunctional inverse of $F(x)=|x|$ be?
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$F^{-1}(r) = \{z \in \mathbb{C} : |z|=r\}$ for $r \in \mathbb{R}^+$ and $F^{-1}(z) = \emptyset$ for $z \in \mathbb{C} \setminus\mathbb{R}^+$.