Hi

State a domain for which the function y = (x-1)^2-3 does not have an inverse. Give a brief reason for your answer.

Could someone please explain the solution to me: The function will not have an inverse if there are included values of x on both sides of x=1, so no inverse for -1<= x <=3, say.

I've found the inverse function: y = 1+sqrt[x+3]