hi..
I have a question about how to get the inverse of f(x)=xsinx
This is for my extra credit on AP Calc class
Thank you very much
Actually, I also thought inverse of f(x)=xsinx does not exist; however, my math teacher sent e-mail back to me like this
"at minimum you should be able to define it -pi/2 to pi/2 at least. I know that it would be a very complex function to define the whole thing, but intervals I think should be possible."
What your teacher means is that you should be able to state the domain for which $\displaystyle f(x)$ is one-to-one, so that the function will have an inverse.
The inverse function IS defined as $\displaystyle x = y\sin{y}$ - I just haven't specified its domain... I'm just lazy...