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