Answer
$g(x)=-x+4$
Work Step by Step
In general, a function $f(x)$ when translated $c$ units down and $d$ units right will result the new function $f(x-d)-c$.
Considering this on $f(x)=3-x$, where $c=2$ and $d=3$:
$$g(x)=3-(x-3)-2$$
$$g(x)=3-x+3-2$$
$$g(x)=-x+4$$