Answer:
The answer is Never.
Step-by-step explanation:
In order to determine the month, we have to graph both functions and then we have to determine the intercept point [tex](x_o,y_o)[/tex] of the functions. With this information, for any "x" value greater than [tex]x_o[/tex], one of both function will be greater that the other.
I have attached an image that shows the graph of both functions, where:
Red line: [tex]f(x)=3*x[/tex]
Blue line: [tex]g(x)=7*x+6[/tex]
As we see in the image, the intercept happens in the negative range of "x". Also we can see that the population of g(x) is always greater than f(x) for [tex]x>0[/tex].
Therefore, never the f(x) population will be greater than g(x) population.
