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## Homework Statement

Determine whether the function is one to one and whether it is onto. The function is [tex] f:\mathbb{C}\rightarrow\mathbb{C}: f(x)=x^2+2x+1[/tex].

## Homework Equations

## The Attempt at a Solution

Now I know this function in the real numbers is neither one to one and onto. Does that imply its not one to one and onto in the complex numbers? And what if I did have a one to one and onto function in the complex numbers. I can't think of a example but how would I show that?.