Answer:
[tex]\begin{gathered} \text{Sum}=\frac{8}{5x} \\ \text{Domain}=(-\infty,0)\cup(0,\infty) \end{gathered}[/tex]
Explanation
Given the sum of fraction;
[tex]\frac{1}{x}+\frac{3}{5x}[/tex]
To get the domain of the function, we need to get all the input variable "x" for which the expression exists.
The function will exist when x ≠ 0 i.e. x < 0 and x > 0
The domain of the expression in interval notation is
[tex]D=(-\infty,0)\cup(0,\infty)[/tex]
Solve the given expression
[tex]\begin{gathered} =\frac{1}{x}+\frac{3}{5x} \\ =\frac{5+3}{5x} \\ =\frac{8}{5x} \end{gathered}[/tex]
Hence the sum of the indicated operation is 8/5x
