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]
Does not have an inverse function, I assume you mean. Answer: Any domain over which the given function is NOT one-to-one.
Since the domain of the inverse function is equal to the range of the function, this is not a relevant question to ask.