$f\left(x\right)=\left\{\begin{array}{l}2x^3-2x+1,<mspace\; width="1em"></mspace>x\le \frac{1}{2}\\ \frac{1}{x}<mspace\; width="5em"></mspace>,<mspace\; width="1em"></mspace>x>\frac{1}{2}\end{array}\right.$