Answer
$\text{all real numbers except }$ $x=
0
$
Work Step by Step
$\bf{\text{Solution Outline:}}$
The domain of the given rational function, $
g(x)=\dfrac{25}{x}
,$ are the values of $x$ which will NOT make the denominator equal to $0.$
$\bf{\text{Solution Details:}}$
Solving for the values of $x$ that will make the denominator equal to $0$ results to
\begin{array}{l}\require{cancel}
x=0
.\end{array}
Hence, the domain is the set of $
\text{all real numbers except }$ $x=
0
.$