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Suppose the point (1,2) is on the graph of \(y=\frac{f(x)}2\). Then there is one point which must be on the graph of \(y=\frac{f^{-1}(x)}{2}\). What is the sum of that point's coordinates?

 Mar 17, 2019
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\((1,2) \text{ on graph of } y = \dfrac{f(x)}{2} \text{ means that}\\ f(1) = 2(2) = 4\\ f^{-1}(4) = 1\\ \dfrac{f^{-1}(4)}{2} = \dfrac 1 2\\ \left(4,\dfrac 1 2\right) \text{ is a point on }y = \dfrac{f^{-1}(x)}{2}\)

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 Mar 17, 2019

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