#### Answer

all real numbers

#### Work Step by Step

$\bf{\text{Solution Outline:}}$
The domain of the given function, $
g(t)=\sqrt[3]{2t-6}
,$ is the permissible values of $x.$
$\bf{\text{Solution Details:}}$
With an odd index (index equals $
3
$), then the radicand can be any real number. Hence, the domain is the set of $\text{
all real numbers
.}$