Question

How to find domain and range of say: `y = 1/(x^2 - 2)`?

Answer 1

Below

Explanation:

`y=1/(x^2-2)`

`y=1/((x-sqrt2)(x+sqrt2))`

Domain: all reals except when `x=-sqrt2` and `x=sqrt2`

Range: all reals except `-1/2 < y < 0`

graph{1/(x^2-2) [-10, 10, -5, 5]}