Question

What are the domain and range of f(x)=[1/5]x

Answer 1

Answer:

Domain: All real numbers

or

$(-\infty,+\infty)$

Range: All real numbers

Or

$(-\infty,+\infty)$

Step-by-step explanation:

The given function is $f(x)=\frac{1}{5}x$

This a polynomial function of degree 1.

Polynomial functions are continuous everywhere.

The function is therefore defined for all real values of $x$.

The domain is $(-\infty,+\infty)$

If we let $y=\frac{x}{5}$

Then, $x=5y$.

$x$ is also defined for all real values of $y$, hence the range is also all real numbers or $(-\infty,+\infty)$