Short Answer

Comparing Function Evaluations in Cost Projections

An operations manager uses the linear function g(x)=3x5g(x) = 3x - 5 to project weekly maintenance costs for machinery based on hours of operation, xx. They compare the cost projection for an increased usage scenario, evaluated as g(x+2)g(x+2), against adding the cost of 2 additional hours to the baseline cost, evaluated as g(x)+g(2)g(x) + g(2). Based on the mathematical principles of evaluating functions, what is the key rule to recall regarding the relationship between evaluating a sum like g(x+2)g(x+2) and the sum of evaluated values like g(x)+g(2)g(x) + g(2)?

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Updated 2026-05-25

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