and determine which of the two functions grows more rapidly than the other.
After a bit of exploration, It appears that, for x < 1.5301401, f(x) > g(x) and, for x > 1.5301401, that f(x) < g(x). Consider the following graph which is the graph of the quotient y = f(x)/g(x); we see that there is a dramatic change for x between 6 and 8. This suggests that we may have overlooked something. Of course, there is another intersection of the graphs of f and g at x = 7.