#1.)

Given and ; find a function such that .

I'm having trouble determining what should be - I don't know the method to determine this. If I was just asked to find any two functions whos composition resulted in ) I would have just decomposed as and - but I'm obviously forced to use the inside function .

#2.)

Given find . In other words, solve for in .

I posted #2 in a previous thread, but I didn't really get the response I was looking for - I would appreciate the explanation for the answer if possible.