# How do you find the domain and range of y - 1x = 0?

Aug 8, 2017

See a solution process below:

#### Explanation:

First, solve the equation for $y$:

$y - 1 x = 0$

$y - 1 x + \textcolor{red}{1 x} = 0 + \textcolor{red}{1 x}$

$y - 0 = 1 x$

$y = x$

Domain

There are no restrictions on what value we can use for $x$.

Therefore the domain is the set of all real numbers or $\left\{\mathbb{R}\right\}$

Range

Because $y$ is always equal to $x$, then $y$, which is the Range has the same set of solutions as $x$ which is the Domain.

Therefore, the range is also the set of all real numbers or $\left\{\mathbb{R}\right\}$