G(t) = sqrt(3 - t) - sqrt(2 + t)

I don't know how to find the domain of a function like this.

Let g(t) be a(t) + b(t)

a(t) = sqrt(3 - t)
b(t) = sqrt(2 + t)


Find the domains of a(t) and b(t)

sqrt(3 - t) exists as long as 3 - t >/= 0

3 >/= t
t
sqrt(2 + t) exists as long as 2 + t >/= 0

t >/= -2

So, the domain of g(t) is the shared domains of a(t) and b(t)

-2

EDIT:

Why would it be negative?