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Let \(f(x) = \frac{x^3 - 1}{x - 1}\). If \(g(x)\) is a polynomial in \(x\) such that \(f(g(x)) = f(x)f(x-1)\) for all \(x \neq 1,2\), then find \(g(x)\).

 Apr 14, 2019
 #1
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Two solutions:

 

 Apr 14, 2019

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