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?
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 :)