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A function f(x) satisfies 2f(x)+3f(1-x)=x^2. What is the expression of

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[GMAT math practice question]

A function \(f(x)\) satisfies \(2f(x)+3f(1-x)=x^2.\) What is the expression of \(f(x)\)?

\(A. \frac{(x^2 +6x +3)}{7}\)

\(B. \frac{(x^2 -6x +3)}{7}\)

\(C. \frac{(x^2 -6x +1)}{3}\)

\(D. \frac{(x^2 -6x +3)}{5}\)

\(E. \frac{(x^2 +6x +3)}{5}\)

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