Answer
$g(3)=.027$
Work Step by Step
We are given that $f(x)=log_{.3}x$ and that $g(x)=.3^{x}$ is the inverse of $f(x)$. We are also told that the ordered pair (3,.027) is a solution of the function $g(x)$.
This can be written in function notation as $g(3)=.027$, which tells us that $g(x)$ has a value of .027 when $x=3$.
$g(3)=.3^{3}=.27$
