range of f-1 that the shown range of f is equal to and the shown domain of f-1. From the graphs, it is easy to construct tables of values showing the inverse relationship between the doma and ranges of the functions(see tables 1 and 2)
Calculating Wages
the importance of graphing a function and its inverse on separate axes is critical when working with mathematical models. For example, the function m =f(h)=10h gives the amount of money earned by a person who works h hours at 10 dollars an hour. The inverse function, h-f-1(m)=0.1m, gives the number of hours an employee must work at 10 dollars an hour in order to earn m dollars. although the equations y 10x and y=0.1x may be graphed simultaneously on the same set of axes, the physical interpretation of the context being modeled is lost(see fig 4