Answer:
The outputs of the function \displaystyle ff are the inputs to \displaystyle {f}^{-1}f
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, so the range of \displaystyle ff is also the domain of \displaystyle {f}^{-1}f
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. Likewise, because the inputs to \displaystyle ff are the outputs of \displaystyle {f}^{-1}f
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, the domain of \displaystyle ff is the range of \displaystyle {f}^{-1}f
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. We can visualize the situation.