Question

the function f(x)=40x-80 models the number of visitors a website received x days after it was created. Which is the most appropriate domain for function?

Answer 1

The most appropriate domain for the given function is x ≥ 0.

Step-by-step explanation:

The domain of a function represents the set of all possible input values, or x-values, for which the function is defined. In this case, the function f(x) = 40x - 80 represents the number of visitors a website received x days after it was created. Since time cannot be negative and the website exists only after it was created, the most appropriate domain for the function would be x ≥ 0. This ensures that the function is defined for all non-negative values of x, which aligns with the context of the problem.

Answer 2

Hello there!

When finding the domain of a function, the only things you need to watch for are...
1. Variables under even radical signs
2. Variables in the dominator of fractions
3. Logarithms

Since this function is linear, there is nothing that would stop any real number from being part of the domain.

This means that the domain is all real numbers. (-∞,∞)

I hope this helps!
Best wishes:)