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.

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