Final answer:
The price p as a function of the demand x is given by the equation p = (9000 - x) / 30. The domain of this function, which represents all possible values for x, is 0 ≤ x ≤ 9,000. This is because x, the number of HDTVs that can be sold, can be any number from 0 up to 9,000.
Step-by-step explanation:
The price-demand equation is given by x = 9,000 - 30p. To express the price p as a function of the demand x, we can rearrange this equation to solve for p: p = (9000 - x) / 30. The domain of this function is the set of all possible values of x. In this context, x represents the number of HDTVs that can be sold, so x can be any number from 0 up to 9,000. Therefore, the domain of this function is 0 ≤ x ≤ 9,000.
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