Ecology—Removing Pollution: The city of Gilbertsburg is interested in analyzing the cost i...

Ecology—Removing Pollution: The city of Gilbertsburg is interested in analyzing the cost involved in removing local water pollution. The cost of removing pollutants in Lake Sutrane near the city of Gilbertsburg is a function of the amount of money invested in its removal and can be modeled by

where x represents the percentage of pollutants removed, and C(x) represents the cost of removing the pollutants, measured in thousands of dollars.

(a) Determine the reasonable domain of C.

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(b) Evaluate C(40) and interpret.

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(c) Determine and interpret.