[b]1. The problem statement, all variables and given/known data[/b]

wegnes

1. The problem statement, all variables and given/known data



2. Relevant equations



3. The attempt at a solution

wegnes

(x+2)^2(x-3) Question? Does and inverse function exist for all real numbers?
If no, why? Can I restrict the domain and force an inverse function?

CompuChip

Hi wegnes.

Did you read the guidelines for the homework forums? Your thread has no useful title whatsoever, and you made no attempt to show us your work. The template is there for a reason, please use it.

What is the property of a function that guarantees the existence of an inverse? Does the function [itex]x \mapsto (x + 2)^2 (x - 3)[/itex] have that property on [itex]\mathbb{R}[/itex]? Drawing a picture may help.