Question

What is the domain and range of `y=1/(x-4)`?

Answer 1

This is a Rational Function.
Rational Function is undefined when denominator becomes zero.
`implies` y is undefined when denominator `x-4=0`.
`implies` y is undefined when denominator `x=4`.

`implies` This function is defined for all real numbers except 4.
`implies` Domain`=RR-{4}`

This function can have any real value except zero.
`implies` Range`=RR-{0}`

Where `RR` is set of all real numbers.