Option C is correct.
The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
Given
[tex]\rm y = ln \dfrac{-x + 3}{2}[/tex] is a function.
The domain of the function.
We know that when we add any number in a variable then gets shifted toward the left but if the variable is negative then we add any number in a variable then get shifted toward the right.
At x = 3, the function is not defined. So the domain will be less than 3.
Thus, option C is correct.
More about the function link is given below.
https://brainly.com/question/5245372