Make a table and a complete graph for the function $f(x) = \frac { x - 2 } { x + 2 }$.

1. Make a table for the inverse of $f(x) = \frac { x - 2 } { x + 2 }$ and add the inverse to the graph. State any restrictions for the function and its inverse.

   Hint (a):

   Switch the $x$ and $y$ coordinates in your original table.

2. What is the equation for $f ^{–1}(x)$?

   Answer (b):

   $f^{-1}\left(x\right)=\frac{-2x-2}{x-1}\text{ or }f^{-1}\left(x\right)=-\frac{4}{x-1}-2$