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GRE
GRE Quantitative Reasoning Section

Evaluation of Composite Functions

Very Hard Algebra Functions

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

$$ f(x) = 5x^2 - 4x + 7 $$

Now, consider another function defined as:

$$ g(x) = 2f(3x) - 3f(x) $$

What is the expression for $$ g(1) $$?

Hint

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