Given that the point (9,7) is on the graph of y=f(x), there is one point that must be on the graph of 2y=2f(x)+2. What is the sum of coordinates of that point?
2y = 2f(x) + 2 is just y = f(x) + 1. That's the image when the graph of y = f(x) is translated 1 unit upwards.
So, translate (9, 7) one unit upwards, and you will get (9, 8). That point must be on the graph of 2y = 2f(x) + 2.
Therefore, the answer is 17.