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

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Answer 1 · 2017-08-08T03:02:42

See a solution process below:

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}#