To find the domain of the function $f(x) = 5^2 - 17x + 1$, let's analyze the expression:

The function is: $f(x) = 25 - 17x + 1$

This is a linear function (polynomial of degree 1), and linear functions are defined for all real numbers.

Thus, the domain of $f(x)$ is: $\text{Domain} = (-\infty, \infty)$

Do you want details or have any questions?

Here are five related questions:

1. What is the range of $f(x) = 25 - 17x + 1$?
2. How do you find the zeros of $f(x)$?
3. What is the slope of the linear function $f(x) = -17x + 26$?
4. Can you determine the x-intercept of the function?
5. How does the graph of the function look?

Tip: Linear functions always have domains that include all real numbers, no matter the coefficients involved.