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According to the Reflective Property, the graph of \(f^{-1}\) is the exact reflection of the graph of \(f\) across which line?

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Question

According to the Reflective Property, the graph of \(f^{-1}\) is the exact reflection of the graph of \(f\) across which line?

Options

  • \(x=0\)

  • \(y=0\)

  • \(y=x\)

  • \(y=-x\)

MCQ
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Solution

Finding an inverse interchanges the coordinates of each ordered pair. Geometrically, this produces an exact reflection across the diagonal line \(y=x\).

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