Question

What is the domain of `h(x)= x / (x ^2 - x - 6)`?

Answer 1

`x in RR - {-2. 3}`

Explanation:

`h(x)=x/(x^2-x-6)` is defined for all Real values of `x`
except those values for which `x^2-x-6 = 0`

`x^2-x-6=(x+2)(x-3)`

So if `x=-2` or `x=3`
`color(white)("XXXX")x^2-x-6 =0`
and
`color(white)("XXXX")h(x)` is undefined