Assume that f(3) = 4. Name a point that must be on the graph of y = 2*f(2x) + 1/2.
the 2x will 'shorten' the function so that instead of 3 the value will be 4 at 1 1/2
then the 2 * will increase the value to 8 then add the 1/2 = 8 1/2
1 1/2 , 8 1/2 should be on the graph