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GRE
GRE Quantitative Reasoning Section

Complex Function Evaluation

Very Hard Algebra Functions

Let the function $$f(x)$$ be defined as:

$$f(x) = x^3 - 6x^2 + 9x + 8$$

Additionally, let another function $$g(x)$$ be defined as:

$$g(x) = 2f(x) - f(x - 1)$$

Determine the value of $$g(3)$$.

Hint

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