# Entire Function Bounded By Linear Function

Calculus Level 3

Suppose $$f: \mathbb{C} \to \mathbb{C}$$ is holomorphic. Furthermore, assume that

$|f(z)| \le 5|z|$

for all $$z\in \mathbb{C}$$. If $$f(1) = 3+4i$$, what is $$f(1+i)?$$

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