# Find the slope out of the functional

Algebra Level 3

Let $$f : \mathbb R^+ \rightarrow \mathbb R$$ such that $f(x)+2f \left (\frac{1331}{x} \right )=L \cdot x$ where $$L$$ is a constant.

Knowing that $$f(11)=847$$, what is $$L$$?

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