Sketch on the same diagram, the graphs of \(y=\frac{2x+2}{x-3}\) and \(y=\sqrt{2x+6}\), stating the equations of any asymptotes and the coordinates of the points where the curves cross the axes.[4]
Hence, solve the inequality \(\frac{2x+2}{x-3}>\sqrt{2x+6}\).[2]
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