Answer
It is not possible to determine the zeros of the function $g$.
Work Step by Step
We want to find the values of $x$ such that $g(x)=0$. Given that $g(x)=3+f(x)$:
$g(x)=0$
$3+f(x)=0$
$f(x)=-3$
But, we do not know the values of $x$ such that $f(x)=-3$