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 \((x_o,y_o)\) of the functions. With this information, for any "x" value greater than \(x_o\), 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: \(f(x)=3*x\)
Blue line: \(g(x)=7*x+6\)
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 \(x>0\).
Therefore, never the f(x) population will be greater than g(x) population.
