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If the function is one-to-one, list the inverse function f={(-9,2),(9,-2),(-5,0),(5,0)}

If the function is one-to-one, list the inverse function\newlinef={(−9,2),(9,−2),(−5,0),(5,0)} \mathrm{f}=\{(-9,2),(9,-2),(-5,0),(5,0)\}

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Full solution

Q. If the function is one-to-one, list the inverse function\newlinef={(−9,2),(9,−2),(−5,0),(5,0)} \mathrm{f}=\{(-9,2),(9,-2),(-5,0),(5,0)\}
  1. Identify One-to-One Function: Since ff is one-to-one, we can find the inverse by swapping each pair of xx and yy values.
  2. Swap Pairs: Swap the pairs: (−9,2)(-9,2) becomes (2,−9)(2,-9), (9,−2)(9,-2) becomes (−2,9)(-2,9), (−5,0)(-5,0) becomes (0,−5)(0,-5), (5,0)(5,0) becomes (0,5)(0,5).
  3. List Inverse Function: List the inverse function: f−1={(2,−9),(−2,9),(0,−5),(0,5)}f^{-1}=\{(2,-9),(-2,9),(0,-5),(0,5)\}.

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