Answer
$-5$
Work Step by Step
If for a function $g(x)=y$ then for the inverse function $g^{-1}(y)=x.$
Since $g$ is one-to-one then for each $x$ there is a unique $g(x)$ and all the $g(x)$ values are distinct.
Hence, if $g(x)=y$, then $g^{−1}(y)=x$.
Thus,
if $g(-5)=3$, then $g^{−1}(3)=-5$