If x $^{- 1}$ -1 is divided by x -1 the quotient is:

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\frac{1}{x - 1}

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\frac{- 1}{x - 1}

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\frac{1}{x}

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\frac{1}{x}

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Solution

The correct option is E - $\frac{1}{x}$
$\frac{x^{- 1} - 1}{x - 1} = \frac{1 - x}{x (x - 1)} = - \frac{1}{x}$
Quotient when $x^{- 1} - 1$ is divided by $x - 1$ = $- \frac{1}{x}$

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