this statement is problematic because the independent variable of the function f is x and the independent variable of the function f-1 is y. The horizontal axis cannot simultaneously represent both x and y, so graphing both functions on the same set of axes is impossible. This misconception is a direct result of the procedure of switching x and y that was used to find the problematic inverse. The practice of graphing f(x) and x) on the same axes should be avoided(Van Dyke 1996) because it muddles the concept of inverse. Instead, f(x) and f should be graphed on separate axes labeled appropriately as x or y on the horizontal axis.
Figures 3a and 3b show, respectively, the graph off(x)- 2 and the graph of-10-logey. Observe that the shown domain off is equal to the shown