Answer
$2 - i$
Work Step by Step
Step 1:
Simplify what is inside of the conjugate expression:
$2i(\frac{1}{2}- 1) = i - 2i^2$
Step 2:
We remember that $i^2$ is equivalent to $-1$, so we simplify $i -2i^2$ to $i + 2$
Step 3:
The conjugate of $i + 2$, by the laws of conjugates, is
$2 - i$
