# Calculus needed here?

Algebra Level 4

$\large f(x) =\sqrt [ 3 ]{ 1-x } +\sqrt [ 3 ]{ x+3 }, \,\,x\in \mathbb{R}$

Suppose $$L$$ is the maximum value of the function $$f$$. Find the value of $$\lfloor 10000L\rfloor$$.


Notation: $$\lfloor \cdot \rfloor$$ denotes the floor function.

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