Question

Tìm GTNN của:M = \(\left|x-\dfrac{3}{4}\right|-\dfrac{1}{4}\)

Answer 1

Do \(\left|x-\dfrac{3}{4}\right|\ge0\forall x\)

\(\Rightarrow M=\left|x-\dfrac{3}{4}\right|-\dfrac{1}{4}\ge-\dfrac{1}{4}\)

\(minM=-\dfrac{1}{4}\Leftrightarrow x=\dfrac{3}{4}\)