Prove that f(x) = (x-1/2) / (x(x-1)) is a one to one correspondence form (0,1) onto R.
Follow Math Help Forum on Facebook and Google+
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?
I tried proving it is 1-1 by setting f(x) = f(y), but it didn't seem to work...
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?
I couldn't simplify it to get x = y
This should be easy to show by taking the derivative. If you need more details let me know.
View Tag Cloud