How do you find the domain of #sqrt(x - 1)/(x + 4)#?

1 Answer
Apr 13, 2018

Answer:

#[0, oo)#

Explanation:

The square root must be positive or zero, so

#x-1>=0 -> x>=1# is part of our domain.

However, we may not have division by zero either:

#x+4 ne 0#

#x ne -4#

From the first portion of the problem, where we ensure that we only have a positive root, #x=-4# is already excluded from the domain, so, this part of the problem only reinforces that #x>=0#.

The domain is then #[0, oo)#