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## Homework Statement

write f(z)= (z+i)/(z^2+1) in the form w=u(x,y)+iv(x,y)

## Homework Equations

## The Attempt at a Solution

I tried using the conjugate and also expanding out algebraically but I can not seem to get the right answer. I know what the answer is, x/(x^2+(y-1)^2)+i(1-y)/(x^2+(y-1)^2) but I fail to see how to get there. am I doing something wrong?