# Demonstrate the statement in section 3.I.3 on the decomposition of the Möbius transformations.

I'm wondering how to do this question. I believe the question wants to decompose the following statements together from the text book to find the Mobius function

Compose the 4 transformations you'll get $$(az+b)/(cz+d)$$ where $$a,b,c,d$$ were (almost) arbitrary. For the calculation it might help you to notice that for $$c\ne 0$$ $$\frac{az+b}{cz+d} = \frac{a}{c}+\frac{a(-d/c)+b}{cz+d}$$