A group of 6 students is surveying their classmates to get feedback about different clubs they're involved in. If each surveys more than 2 of their classmates, the total number of completed surveys, s(x), is given by the equation s(x)=6x. What could be the domain of this function?

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Answer:

The domain would be given by D = {X ≥ 2} X = [2, Z]. Since the variable Z is the number of children in the school. And the 6 children should not survey the same person, it would be Z / 6 for each interviewer.

Step-by-step explanation:

- If the group of children surveys more than 2 classmates, it means that the number with which the survey begins is 12 students.

And since the maximum number of students in the school is given by the variable of Z, then Z is the number with which the domain closes.

The rank would be given by the set of [2, Z]

Z / 6 being the maximum number of children surveyed by 1 interviewer.

The Domain of given function is, [tex]x\geq 2[/tex]

The Domain of function is defined as, all input values for which function is defined.

 The total number of completed survey is given by a function,

                        [tex]s(x)=6x[/tex]

Since, If the group of children surveys more than 2 classmates, it means that the number with which the survey begins is 12 students.

It means value of x is always greater and equal to 2.

                        So that,   [tex]x\geq 2[/tex]

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