Question
Consider the function $f(z)=z+1 / z$. Describe the level curve $v(x, y)=0$
Step 1
We know that $z = x + iy$, where $i$ is the imaginary unit. So, we can write $f(z)$ as: \[f(z) = z + \frac{1}{z} = x + iy + \frac{1}{x + iy}.\] Show more…
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