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The function f(x) = 4x ^ 2 + 2x represents the revenue a company earns x years after 2000, and g(x) = 10x + 125 represents the cost per year. Write a function P(x) for the profit the company earns per year. (Hint: Profit is the difference of revenue and cost.)

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Answer:

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The  function P(x) for the profit the company earns per year is P(x) = 4x^2 - 8x  + 125

How to calculate the profit function

From the given information, we have the following

revenue function f(x) = 4x^2 + 2x

Cost per year C(x) = 10x+ 125

The profit = Revenue  - Cost

P(x) = 4x^2 + 2x - 10x+ 125

P(x) = 4x^2 - 8x  + 125

Hence  function P(x) for the profit the company earns per year is P(x) = 4x^2 - 8x  + 125

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