Find the inverse of the function on the given domain. (Enter the domain using interval notation.)

Question

I am given f(x)=(x-3)^2 on the limited domain of [3,infinity)

My objective is to find the inverse function and domain...

I am able to find f^-1(x) = 3+\sqrt{x} no problem

But how do I find the domain? I thought it was [3,infinity] but that's not the right answer. So I tried (-infinity,3] and that was no good. What am I supposed to put in here? (help me find the ordered pair please ^^)

Answer 1

Domain is [0,∞) same as range of f(x).Yes, f⁻¹(x)=3+√x.