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GRE
GRE Quantitative Reasoning Section

Comparison of Function Values at Specific Points

Very Hard Algebra Functions

Consider two functions, $f(x) = 2x^2 - 3x + 5$ and $g(x) = x^2 - 8$. We are interested in comparing the values of these functions for different values of $x$. Specifically, we want to evaluate the inequalities between these two functions.

Let Quantity A be defined as $f(x)$ for $x = 3$ and Quantity B be defined as $g(x)$ for $x = 3$. Calculate $f(3)$ and $g(3)$ and determine the relationship between Quantity A and Quantity B.

Hint

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