Problem

10)
\[
\begin{array}{l}
f(x)=3 x-1 \\
g(x)=x^{2}-x \\
\text { Find }\left(\frac{f}{g}\right)(x)
\end{array}
\]

Answer

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Answer

Simplify the expression and find domain restrictions: \(\boxed{\frac{3x - 1}{x^2 - x}}\) with a domain restriction of \(x \neq 0, 1\)

Steps

Step 1 :Find the quotient of \(f(x)\) and \(g(x)\): \(\frac{f(x)}{g(x)} = \frac{3x - 1}{x^2 - x}\)

Step 2 :Simplify the expression and find domain restrictions: \(\boxed{\frac{3x - 1}{x^2 - x}}\) with a domain restriction of \(x \neq 0, 1\)

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