A logistics manager needs to combine two cost models to find the total operating cost function, $(f+g)(x)$. The models are $f(x) = 3x^2 - 5x + 7$ and $g(x) = x^2 - 4x - 3$. Arrange the steps below in the correct order to find the resulting polynomial function.

A logistics coordinator is merging two shipping cost models for separate regions: $f(x) = 3x^2 - 5x + 7$ for international routes and $g(x) = x^2 - 4x - 3$ for domestic routes. Based on the rule for adding functions, which polynomial represents the simplified sum $(f+g)(x)$ for the total cost?

An operations manager is merging two cost models: $f(x) = 3x^2 - 5x + 7$ and $g(x) = x^2 - 4x - 3$. To determine the total cost function $(f+g)(x)$, match each grouping of like terms from the models with its simplified result.

A budget analyst is merging two departmental expense models, $f(x) = 3x^2 - 5x + 7$ and $g(x) = x^2 - 4x - 3$, to create a combined total cost function $(f+g)(x)$. True or False: The simplified polynomial for the combined model is ${}4x^2 - 9x + 4$.

Combining Departmental Cost Models

A financial analyst is calculating total projected costs by combining a manufacturing cost model, $f(x) = 3x^2 - 5x + 7$, and a shipping cost model, $g(x) = x^2 - 4x - 3$. When finding the combined cost function $(f+g)(x)$, the analyst must group and combine like terms. The combined constant term (the number without an $x$) in the final simplified polynomial is ____.

Operating Cost Modeling: Recalling the Addition of Functions