Find the domain of the function $f(x) = \frac{\sqrt{x-2}}{\sqrt{5}} + \sqrt{(x - 1)(x + 2)(x + 4)}.$

bingboy Aug 27, 2023

#1**+1 **

Not as hard as it appears

The domain is defined by the first function

Since we can't have a negative under the first radical , x must be ≥ 2

But notice in the second radical that if x ≥ 2 that this will always result in a positive quantity under this radical

So....the domain is [ 2, inf )

CPhill Aug 27, 2023