Answer
$$ y=-\frac{1}{2}x+3$$
Work Step by Step
This is a linear function, so it will have an inverse. Thus, it is one to one. We find the inverse by switching x and y in the original function:
$$ x=6-2y \\ 2y=6-x \\ 2y=-x+6 \\ y=-\frac{1}{2}x+3$$