- #1
cragar
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Homework Statement
Illustrate the mapping of [itex] f(z)=z+\frac{1}{z} [/itex]
for a parametric line.
The Attempt at a Solution
the equation for a parametric line is [itex] z(t)=z_0(1-t)+z_1(t) [/itex]
so I plug z(t) in for z in f(z), but I don't get an obvious expression on how to graph it,
I tried manipulating it,
Was also wondering if I should represent [itex] f(z)=\frac{(z-i)(z+i)}{z} [/itex]
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