Question 88

For a differentiable function $$f : \mathbb{R} \to \mathbb{R}$$, suppose $$f'(x) = 3f(x) + \alpha$$, where $$\alpha \in \mathbb{R}$$, $$f(0) = 1$$ and $$\lim_{x \to -\infty} f(x) = 7$$. Then $$9f(-\log_e 3)$$ is equal to ________


Correct Answer: 61

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