But how is g defined on [2,5]?
I have to run so I'll leave you with a hint:
Let [itex]C = \{ z \in \mathbb C \mid z3.5 < 1 \}[/itex] and define [itex]g(z) = \frac{1}{2\pi i} \int_C \frac{f(w)}{wz} dw[/itex] in C. Try to show that f and g agree off of [2,5].
