# Complex variables, maximum value

1. Mar 18, 2008

### babyrudin

2. Relevant equations
Let $$w \in C$$ be a fixed complex number with $$|w|<1$$. Let
$$f(z)=\frac{z-w}{1-\bar{w}z}.$$
Calculate its maximum value in the region $$|z| \leq 1$$.

3. The attempt at a solution
How should I approach this? Not sure if maximum modulus principle is of much help.

2. Mar 19, 2008

### babyrudin

Any idea on this?