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If the point (3,6) is on the graph of  \(y=g(x)\), and \(h(x)=(g(x))^2\) for all x, then there is one point that must be on the graph of \(y=h(x)\). What is the sum of the coordinates of that point?

 Jan 7, 2020
 #1
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If (3,6) is on the graph of y = g(x), then g(3) = 6.

 

we know that h(x) = (g(x))2

that means h(3) = (g(3))2

so h(3) = (6)2

h(3) = 36

 

therefore, the point (3, 36) is on the graph of y = h(x)

you can probably sum up the coordinates yourself :)

 Jan 7, 2020

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