Answer:
Domain: All real numbers
or
[tex](-\infty,+\infty)[/tex]
Range: All real numbers
Or
[tex](-\infty,+\infty)[/tex]
Step-by-step explanation:
The given function is [tex]f(x)=\frac{1}{5}x[/tex]
This a polynomial function of degree 1.
Polynomial functions are continuous everywhere.
The function is therefore defined for all real values of [tex]x[/tex].
The domain is [tex](-\infty,+\infty)[/tex]
If we let [tex]y=\frac{x}{5}[/tex]
Then, [tex]x=5y[/tex].
[tex]x[/tex] is also defined for all real values of [tex]y[/tex], hence the range is also all real numbers or [tex](-\infty,+\infty)[/tex]
