The given function is:

$f(x) = 8 - x$

Since this is a linear function, it doesn't have any restrictions such as square roots (which would require non-negative values) or denominators (which could lead to division by zero). Therefore, the domain of the function is all real numbers, denoted as:

$\text{Domain of } f(x): (-\infty, \infty)$

This means that $x$ can be any real number.

Would you like a detailed explanation of how to determine domains for different types of functions?

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Here are 5 questions related to this concept:

1. What is the domain of a square root function like $f(x) = \sqrt{x}$?
2. How do you determine the domain of a rational function?
3. What happens to the domain when you have a function involving logarithms?
4. How does the domain change for trigonometric functions like $\sin(x)$ or $\cos(x)$?
5. Can the domain of a function ever be a finite set of numbers?

Tip: Always check for potential restrictions in the function, such as square roots or denominators, when finding the domain.