Given that the point (8,8) is on the graph of $y= 4 f\left( 2x\right)$, there is one point that must be on the graph of $y=f(x)$. What is the sum of coordinates of that point?
So then f(2x)=(2,8) by height diminishing.
Then, by length dimishing, f(x)=(2,4).
The sum of coordinates is 6
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