I would like some help with a problem.
Show that has an inverse and find
How do you invert fractions like this?
Note, that this problem did NOT ask you to actually find the inverse function- and skeeter did not. However, since you asked:
Start by witing the function as
and swapping x and y:
Now solve for y:
Solve that cubic equation for y. That, of course, is the hard part and probably why the problem did not require you to find the inverse!