State the domain and range of \( g(x)=\frac{2}{x+1}-7 \) The domain is all real numbers except \( \square \) and the range is all real numbers except

The domain of \( g(x) = \frac{2}{x+1} - 7 \) is all real numbers except \( -1 \), since the function becomes undefined when \( x+1 = 0 \). 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 \(-7\). That's because as \( x \) 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!