Question

What is the domain and range of `y= (x+1)/(x^2-1)`?

Answer 1

`f: RR-{1} rarr RR`

Explanation:

Simplify your function
`y=(x+1)/(x^2-1)=(x+1)/((x+1)(x-1))=1/(x-1)`
Ask yourself where the function is not defined, where the numerator is different from zero.
`x-1=0`
`x=1`
The domain is the real ax except 1, range is the whole real ax.