Question

$$f(\alpha)=\alpha$$

Solve for f (complex solution)

$\left\{\begin{matrix}\\f=1\text{, }&\text{unconditionally}\\f\in \mathrm{C}\text{, }&\alpha =0\end{matrix}\right.$

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Solve for α (complex solution)

$\left\{\begin{matrix}\\\alpha =0\text{, }&\text{unconditionally}\\\alpha \in \mathrm{C}\text{, }&f=1\end{matrix}\right.$

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Solve for f

$\left\{\begin{matrix}\\f=1\text{, }&\text{unconditionally}\\f\in \mathrm{R}\text{, }&\alpha =0\end{matrix}\right.$

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Solve for α

$\left\{\begin{matrix}\\\alpha =0\text{, }&\text{unconditionally}\\\alpha \in \mathrm{R}\text{, }&f=1\end{matrix}\right.$

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