You can put this solution on YOUR website! at what x-coordinate does f(x)=|-2x+3|-2 have its minimum value?
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y is minimum when |-2x+3| = 0
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Solve -2x+3 = 0
-2x = -3
x = 3/2
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y is at a minimum when x = 3/2
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Cheers,
Stan H.