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

1 Answer
Aug 8, 2017

See a solution process below:

Explanation:

First, solve the equation for y:

y - 1x = 0

y - 1x + color(red)(1x) = 0 + color(red)(1x)

y - 0 = 1x

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 {RR}

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 {RR}