Michael starts a new paper company. The function fff models the company's net worth (in thousands of dollars) as a function of time (in months) after Michael starts it. A company is in debt if its net worth is negative. Plot the point on the graph of fff that corresponds to the first time after 666 months at which the company is no longer in debt.

The x-intercept of a function is when [tex]y =0[/tex]. The question is incomplete, as the function that models the company's net worth is not given. So, I will provide a general solution.

See attachment for the graph of the assumed function.

For this solution, we make use of the following representations

[tex]x \to[/tex] month

[tex]y \to[/tex] net worth

The company is out of debt when the net worth is not negative. The scenario is represented as: [tex]y \ge 0[/tex]

This means that we set the y-value to a non-negative value, and then calculate the x-value.

In this case, the y-value to use will be [tex]y=0[/tex] ---- This represents the first point when the company is not in debt.

Assume the function is:

[tex]y = 5x - 15[/tex] ----- This is just an assumption (Replace this with function in the complete question)

The solution will be:

[tex]0 = 5x - 15[/tex]

Collect like terms

[tex]5x = 15[/tex]

Divide by 5

[tex]x = 3[/tex]

So, the first point when the company is no longer in debt will be: (3,0)

Also note that the above point represents the x-intercept of the function

See attachment for the graph of the assumed function.