Question

How do you find the domain of `(x+2)/(x^2-1)`?

Answer 1

Domain`= {x|x epsilon RR, x!=1, x!=-1}`

Explanation:

Factorise the denominator first.

`(x+2)/(x^2-1) = (x+2)/{(x+1)(x-1))`

The denominator may not be zero. The two values of `x` which will make the denominator are `x = 1, and x= -1`

Domain`= {x|x epsilon RR, x!=1, x!=-1}`