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Question

Given that the point (4,7) is on the graph of y=f(x), there is one point that must be on the graph of 2y=3f(4x)+5. What is the sum of the coordinates of that point?

Accepted Answer

Since (4,7) is on the graph of y=f(x), we know 7=f(4).Using that f(41)=7, we can also say 3f(41)+5=37+5=26=213.Therefore (x,y)=(1,13) is on the graph of 2y=3f(4 x)+5.The sum of these coordinates is 1+13=14.