Answer:
The domain is discrete
Explanation:
Given

Required
What type of domain is it?
Based on the given options, the domain is continuous.
From the question, we understand that x represents the hours spent in climbing the rock.
The climber can decide to climb for 1 hour, 2 hours, ½ hour, ⅓ hour, ¼ hour, etc..
A domain is said to be discrete if it can only take integers (i.e. whole numbers), if otherwise, it is continuous;
So, since x is not limited to only whole numbers, then we can conclude that the domain of x is continuous