Set, Relations and FunctionsPYQ Jun 23Question 1971 of 136
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If f(y)=y−1y\displaystyle f(y) = \frac{y-1}{y}, find f−1(x)\displaystyle f^{-1}(x).

Options

A11−y\displaystyle \frac{1}{1-y}
By1−y\displaystyle \frac{y}{1-y}
Cyy−1\displaystyle \frac{y}{y-1}
D1y−1\displaystyle \frac{1}{y-1}
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Correct Answer

✅ Option a — 11−y\displaystyle \frac{1}{1-y}

All Options:

  • A11−y\displaystyle \frac{1}{1-y}
  • By1−y\displaystyle \frac{y}{1-y}
  • Cyy−1\displaystyle \frac{y}{y-1}
  • D1y−1\displaystyle \frac{1}{y-1}

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