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.
Read more about x-intercepts at:
https://brainly.com/question/3520400
