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# Suppose the point (1,2) is on the graph of . Then there is one point which must be on the graph of ​. What is the sum of that point's

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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

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