This is Complex Variable. In detail explanation please. Thank you.

Problem 5. Suppose that f is holomorphic on and inside a circle. Slightly rework both the state- ment and proof of 43 from class (so that it applies to any point inside the circle, not just the center) to show that the maximum of | f| occurs on the boundary of that circle unless f is constant. You may assume that | | has a maximum on the closed disk. (Hint: After your rework of 43, consider g(z) = (f(2))" forn N.)