maybe you mean:
If y = f (x) has a range of [3,18], what is the range of y =(1/3)f(x-2)-4?
min of f(x-2) is 3 where y = (1/3)(3) - 4 = -3
max of f(x-2) is 18 where y = (1/3)(18) - 4 = 2
so I think the range goes from -3 to +2
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