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f(x) = 9x - 3x + 1
f(x) = (32x) - 3x + 1
let 3x = t
f(x) = t2 - t + 1
f(x) = t2 - t +1/4 - 1/4 + 1
f(x) = (t-1/2)2 + 1-1/4
f(x) = (t-1/2)2 + 3/4
square of any number cannot be less than 0 so minimum value of this function
is 3/4 when (t-1/2)2 = 0
maximum value can be infinity
so its range is [3/4 , infinity)
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