I'll focus on the parts circled in red.
We have this function
![\text{r}(\text{x}) = \frac{\text{x}+13}{\text{x}-3}](https://img.qammunity.org/2023/formulas/mathematics/college/dmo0qivnlo6ns4bmphv9eqryh55i1os8sv.png)
Question 6 asks what value of x is not allowed. That would be 3 since it causes the denominator to turn into zero. Dividing by zero is not allowed.
![\text{x}-3= 3-3 = 0](https://img.qammunity.org/2023/formulas/mathematics/college/k13kj68ym43t6c4ayi85ppcz1vphzqoolp.png)
So we must kick
out of the domain. Any other value of x is allowed.
Final Answer: 3