Exercise 62 Page 229

Next, we will simplify the equation's right-hand side. Having simplified $e(f(x)),$ we see that it equals $x.$ Therefore, the value of $e(f(\text{-}4))$ must be $\text{-}4.$

The graph goes from $\text{-}5$ and to the right on the $x\text{-}$axis. It also goes from $1$ and up on the $y\text{-}$axis. With this information, we can identify the range and domain of $f(x).$ Any point on the graph of the function has a corresponding point on its inverse where the $x\text{-}$ and $y\text{-}$values are swapped. Since we have identified a few points on $f(x),$ we can identify the corresponding points on the inverse. The graph of the inverse can now be drawn by connecting the points on $e(x).$ We will also mark the domain and range as we did with $f(x).$ Just like the inverse swaps the $x\text{-}$ and $y\text{-}$coordinates of all points on the function, it also switches the domain and range. We can see this in the diagram as well.