The question asks to determine whether specific values of $x$ are in the domain of the function $g(x) = 5 - 2x$.

Step 1: Understanding the Domain

For a linear function like $g(x) = 5 - 2x$, the domain consists of all real numbers, since no operations like division by zero or square roots of negative numbers appear, which could restrict the domain.

Thus, the function is defined for all real values of $x$.

Step 2: Evaluate for Each $x$-Value

You are asked to determine whether specific values $0$, $2$, and $8$ are in the domain of the function.

Since $g(x)$ is defined for all real numbers, all of these values (0, 2, and 8) are in the domain.

Conclusion:

For each value (0, 2, 8):

• In domain: Check all three for the "In domain" option.

Would you like further details on domains or any other clarifications?

Here are five related questions you can explore:

1. How do you find the domain of a rational function?
2. What are the domain restrictions for square root functions?
3. How does the domain change when dealing with logarithmic functions?
4. Can absolute value functions have restricted domains?
5. What does it mean when a function has a "limited domain"?

Tip: Always start by identifying any potential operations (like division or roots) that might limit the domain of a function.