Problem

Given the functions \(f(x) = 3x^2 - 2x + 1\) and \(g(x) = x - 1\), find the quotient \(\frac{f(x)}{g(x)}\).

Answer

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Answer

As the denominator is a linear function, we cannot simplify this fraction any further.

Steps

Step 1 :First, we write down the functions: \(f(x) = 3x^2 - 2x + 1\) and \(g(x) = x - 1\).

Step 2 :Then, we write the quotient as a fraction: \(\frac{f(x)}{g(x)} = \frac{3x^2 - 2x + 1}{x - 1}\).

Step 3 :As the denominator is a linear function, we cannot simplify this fraction any further.

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