Answer:
Whole Number
Explanation:
Domain : The set of all the input values (i.e. the value of x ) in the function is called domain
The daily cost of production in a video game factory is calculated using c(x) = 400 + 25x
Cost expression : C(x) = 400 + 25x
Cost expression : C(x) = 400 + 25x
As x defines the number of complete video, since number of video cannot be negative.
1) Integers : integers are the numbers which can be positive, negative or zero, but cannot be a fraction
As, number of videos cannot be negative
so, x cannot be any integers
So, Integers is not the domain
2) Positive real numbers : Real numbers are the numbers which include both rational and irrational numbers.
As the x represent the complete number of video games, thus, x cannot be irrational
Hence, Positive real numbers is not the domain
3) Positive Rational Number : a number is expressed in the form of p/q then it is a rational number
The number of videos are in the complete number, so a fraction cannot be a complete number, thus, rational number cannot be a domain.
4) Whole Number : Whole numbers include natural numbers that begin from 1 onwards
As Numbers of videos are the complete number, and they are always positive, which is the defination of whole number, Domain is whole number