Determine domain? f(x)=2+sqrt(x-1)

determine domain?
f(x)=2+sqrt(x-1)

1 Answer
Mar 26, 2018

Domain: x>=1

Explanation:

The only rule to consider when finding the domain is that for these purposes, you cannot have a negative number under the sqrt. Knowing this, you can deduce that for f(x)=sqrt(x-1)(the 2 doesn't matter for the domain), f(x) must be at least 0. sqrt0 is 0, so x can be any value greater than or equal to 1, because anything less than 1 would give a non-real value for sqrt(x-1). So the domain is x>=1.