Find the domain of f(x).
f(x)= 
8−x
​


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.

Understand how to find the domain of the linear function f(x) = 8 - x. This problem introduces the concept of function domains in algebra and is suitable for students in Grades 6-8. The domain of this linear function is all real numbers.

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