Lemma practice generator mobius-image #1,631,691 · Complex Analysis · Conformal maps

Image under a Möbius transformation

Find the image of $z = - 4 + 5 i$ under $w = \frac{1 z - 5}{5 z - 1}$ , in the form $a + bi$ .

~5 minAnswer checked instantly

Stuck? A gentle nudge

No hints for this one.

Something off?

Workspace

Your answer

Loading the math keyboard…

Type naturally — sqrt, pi, / and ^ become notation. Any equivalent form is accepted. Press Enter to check.