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I have the following three functions

$f_1(x) = \frac{1}{4} (8-3x + \sqrt{(x-2) (5x-14)}) (1-x)$

$f_2(x) = \frac{1}{8} (12-4x + \sqrt{2} \sqrt{(5x-14)(x-3)} + \sqrt{2} \sqrt{(x-2)(x-3)} )(1-x)$

$f_3(x) = (x-1)(x-2)$

How possible can it be shown that

$f_1(x) > (or <) f_2(x) < (or >) f_3(x)$

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    For specific $x$? Or as $x\to+\infty$?2012-10-03
  • 1
    Hard to parse. You have written $f_1$ in the form $1/4ab$. Is that $(1/4)ab$? or $1/(4ab)$? or $(1/(4a))b$?2012-10-03

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