Determine the domain of cost of installation


Problem is about the cable company and you are asked to compute different paths of connecting the house to connection box. You have to find variety of distances and rates based on hypoteneuse or going on two short legs of right triange.

Here is the estimated data with miles first and cost second:

(6.71,1006.50)
(6.83,984.64)
(7,970)
(7.24,966.40)
(7.61,980.83)
(8.16,1024.34)
(9, 1110) [ this data is completely on the road, with no shortcuts)

Let x be distance (in miles) from connection box to point where cable installation turns off road. Write the equation for cost of installation as the function of x. Determine the domain of the function?

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Mathematics: Determine the domain of cost of installation
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