Question

Could someone please help me with finding the real and imaginary parts of the following complex function? Thanks!

Answer 1

\[f(z)=z^{-1}\]

Answer 2

(where z is assumed to be z=x+iy)

Answer 3

\[f(z) = \frac{1}{x+i y}*\frac{x-i y}{x-i y} = \frac{x-i y}{x^{2}+y^{2}}\]

Answer 4

So the real part is \[x/x^2\]?

Answer 5

sorry\[x/(x^2 + y^2)\]

Answer 6

And imaginary is just -y?

Answer 7

yes, well -y/(x^2 +y^2)

Answer 8

Oooooh I see! Thanks!

Answer 9

:)