Suppose $f(T)$ is the image of a closed complex set $T$ where $f:\mathbf{C} \rightarrow \mathbf{C}$. How does scaling $f$ by $c\in\mathbf{C}$ affect the area of $f(T)$?
2026-03-27 07:11:35.1774595495
Scaling a function by a complex number
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Scaling by $c$ results in multiplying the area by $|c|^2$.