Question

Domain and range of f(x)=(x+2)^2 for x<=-2 ... as well as d&r of the inverse of f(x). Does the x<=-2 apply to the inverse as well?

So far I have domain of f(x) as:
f(x)=(neg inf, -2]
range: [0,inf)

inverse of f(x):
sqrt(x)-2