The domain of the function:
[tex]f(x)= 30+4x[/tex]
Is the whole real set. This means that the domain is :
domf=(-∞,∞)
This comes from the fact that the functions is a polynomial. Nevertheless, given that x represents the number of people, in the context of the problem the domain has to be :
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domf= (0,∞)
The graph of the function is