State the domain and range of
The domain is all real numbers except and the range is all real numbers except

The domain of is all real numbers except , since the function becomes undefined when . So, if you plug in -1, it throws a wild party of chaos with a division by zero!

As for the range, this function can produce any real number except for . That’s because as approaches -1, the function goes to infinity or negative infinity but never actually reaches that elegant -7 threshold. So, imagine all the numbers partying together, but -7 is just standing alone at the corner!