1. ## Bijections

Prove that f(x) = (x-1/2) / (x(x-1)) is a one to one correspondence form (0,1) onto R.

2. Originally Posted by veronicak5678
Prove that f(x) = (x-1/2) / (x(x-1)) is a one to one correspondence form (0,1) onto R.
What have you tried?

3. I tried proving it is 1-1 by setting f(x) = f(y), but it didn't seem to work...

4. Originally Posted by veronicak5678
I tried proving it is 1-1 by setting f(x) = f(y), but it didn't seem to work...
Why didn't it seem to work?

5. I couldn't simplify it to get x = y

6. This should be easy to show by taking the derivative. If you need more details let me know.