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  3. 4 show that the inversion mapping w fz 1z maps...

Question: 4 show that the inversion mapping w fz 1z maps...

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4. Show that the inversion mapping w f(z) 1/z maps (a) the circle lzl = r onto the circle lwl 1/r; (b) the ray Arg z 0,-r < 60 < π , onto the ray Arg w-:-a); (c) the circle |z 1l1 onto the vertical line x 1/2.
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