Originally Posted by

**FelixHelix** Hi,

New to this site and hoped to get some advice with a question from first year Uni.

Find the domain and range of:

*y* $\displaystyle \f=\sin \left( \frac1{x+1} \right) + \exp \left( \frac1{x+1} \right)$

And explain if it has an inverse or not.

We've done a over view of domains and ranges but I can't see any example quite like this in any of our notes or text books.

I think the Domain is all Real numbers except x= -1 as function would not be well defined. The range, well, sine function will be [-1,1] and not sure of the exponential and when they are combined what happends. I've graphed this on Maple and don't know how to interpret the function.

Any pointers and advice would be greatly appreciated.

Thanks,

Felix