The problem asks for the evaluation of the function $k(x) = |x - 5|$ at $x = 5$, and to simplify the result.

Let's go through the steps:

1. Substitute $x = 5$ into the function: $k(5) = |5 - 5|$

2. Simplify inside the absolute value: $k(5) = |0|$

3. The absolute value of 0 is 0: $k(5) = 0$

Final Answer:

$k(5) = 0$

Would you like more details, or do you have any questions?

Here are some related questions for further practice:

1. What is $k(3)$ for $k(x) = |x - 5|$?
2. What is $k(-2)$ for $k(x) = |x - 5|$?
3. If $k(x) = |x - a|$, what is $k(a)$?
4. How does the graph of $k(x) = |x - 5|$ look compared to $k(x) = |x|$?
5. What is the derivative of $k(x) = |x - 5|$ at points where $x \neq 5$?

Tip: Absolute value functions create "V" shapes on graphs because of their non-negative nature.