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If (6,2) is a point on the graph of ๐‘“(๐‘ฅ), give the coordinates of one point that must beย on the graph of ๐‘“โˆ’1(๐‘ฅ) if ๐‘“โˆ’1(๐‘ฅ) exists.

Question

If (6,2) is a point on the graph of ๐‘“(๐‘ฅ), give the coordinates of one point that must beย on the graph of ๐‘“โˆ’1(๐‘ฅ) if ๐‘“โˆ’1(๐‘ฅ) exists.

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Solution

The point on the graph of the inverse function, ๐‘“โˆ’1(๐‘ฅ), would be the reverse of the point on the original function, ๐‘“(๐‘ฅ). So, if (6,2) is a point on ๐‘“(๐‘ฅ), then (2,6) would be a point on ๐‘“โˆ’1(๐‘ฅ), assuming ๐‘“โˆ’1(๐‘ฅ) exists.

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