- 8

- 0

**2. Homework Equations**

Let [tex]w \in C[/tex] be a fixed complex number with [tex]|w|<1[/tex]. Let

[tex]f(z)=\frac{z-w}{1-\bar{w}z}.[/tex]

Calculate its maximum value in the region [tex]|z| \leq 1[/tex].

**3. The Attempt at a Solution**

How should I approach this? Not sure if maximum modulus principle is of much help.