Question

How do you find the domain of the function in interval notation for `g(x)= sqrtx/(x^2+x-90)`?

Answer 1

`g(x) = sqrt(x)/(x^2+x-90)`
`= sqrt(x)/((x+10)(x-9)`

Restrictions based by the numerator
`x>=0`

Restrictions place by denominator
`x!= -10` (this is eliminated by the restriction of the numerator)
and `x!= 9`

In interval notation
Domain of `g(x) = {[0,9),(9,+oo]}`