Question

How do you find the domain and range of `f(x)= 1/ (x+1)`?

Answer 1

This is a Rational Function.
Rational Function is undefined when denominator becomes zero.
`implies` f(x) is undefined when denominator `x+1=0`.
`implies` f(x) is undefined when denominator `x=-1`.

`implies` This function is defined for all real numbers except `-1`.
`implies` Domain`=RR-{-1}`

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

Where `RR` is set of all real numbers.