The sum of the absolute minimum and the absolute maximum values of the function f(x) = |3x $-$ x2 + 2| $-$ x in the interval [$-$1, 2] is :

Question

The sum of the absolute minimum and the absolute maximum values of the

function f(x) = |3x $-$ x² + 2| $-$ x in the interval [$-$1, 2] is :

${{\sqrt {17} + 3} \over 2}$

${{\sqrt {17} + 5} \over 2}$

${{9 - \sqrt {17} } \over 2}$

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