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

1 Answer
VNVDVI
Apr 13, 2018

[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)

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