Can anyone help me with these problems I am stuck on?

1. Consider the complex mapping

z -> f(z) = (1+z)/(1-z)

, and now just substitute
Find the images of i and 1 − i. What are the images of the real and the

imaginary axes?

2. Find Mobius transformations f such that

(a) f(0) = i, f(1) = 1, f(−1) = −1;

(b) f(0) = infinity, f(1) = −1, f(infinity) = 1.

A Moebius transformtion is of the form , so choose the coefficients accordingly. For example , for (a): , and together with we get , and the transf. is Tonio
3. Find a Mobius transformation mapping {z : Imz > 2} onto the disc

{w : |w − 2| < 3}.

Thanks for any help you can give.