show that f has a fixed point

I think I am supposed to use Rouche Theorem and Cauchy Argument Principle for this problem as well:

http://i3.photobucket.com/albums/y57...ty/prob2-1.jpg

Any ideas? Any help is appreciated! thanks

Define and use Rouche's theorem by showing that has a zero in the disk. That will mean there is such that and hence has a fixed point.