A manufacturing analyst is evaluating the net output difference between two production lines using the performance functions $f(x) = 3x^2 - 5x + 7$ and $g(x) = x^2 - 4x - 3$. To find the value of $(f-g)(-2)$, the analyst follows a specific sequence of evaluation steps. Arrange the following steps in the correct order as described in the evaluation process.

An operations analyst is comparing the performance of two different production shifts using the cost functions $f(x) = 3x^2 - 5x + 7$ and $g(x) = x^2 - 4x - 3$, where $x$ represents the deviation from the standard production speed. Based on the established evaluation process for these specific functions, what is the value of the combined difference $(f-g)(-2)$?

In a corporate efficiency study comparing two departments with performance models $f(x) = 3x^2 - 5x + 7$ and $g(x) = x^2 - 4x - 3$, the calculated value for the combined difference $(f-g)(-2)$ is exactly 20.

A resource planner at a manufacturing plant uses two cost models, $f(x) = 3x^2 - 5x + 7$ and $g(x) = x^2 - 4x - 3$, to analyze budget variances. To evaluate the net difference $(f-g)(-2)$, the planner identifies several key stages of the calculation. Match each stage of this evaluation process with its corresponding mathematical expression or result.

An inventory manager compares two supply-chain cost models, $f(x) = 3x^2 - 5x + 7$ and $g(x) = x^2 - 4x - 3$. The manager evaluates the net difference $(f-g)(-2)$ by first determining the combined difference function as `${}2x^2 - x + 10$. After correctly substituting $-2$ into this expression and completing the arithmetic operations, the final numerical value is ____.

Evaluating Performance Model Differences

Evaluating Distribution Cost Differences