Add two functions and interpret the combined output

Problem

For \(x\) items, \(f(x)~=~3x~+~10~\text{dollars}\) is supplier A's cost and \(g(x)~=~2x~+~5~\text{dollars}\) is supplier B's cost. Add the functions to write \((f~+~g)(x)\), then interpret its output.

Your answer

Show answer choicesHide answer choices Work through the mathematics first, then compare your reasoning.Select the answer that matches your work.

A (fg)(x) = 6x² + 35x + 50. It adds the supplier costs to give combined cost in dollars. B (f + g)(x) = 5x + 15. It gives the combined number of items. C (f + g)(x) = 6x + 50. It adds the supplier costs to give combined cost in dollars. D (f + g)(x) = 5x + 15. It adds supplier A's cost and supplier B's cost to give the combined cost for x items, in dollars.

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Add two functions and interpret the combined output

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Align the two outputs at the same input

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