Finding $(f+g)(x)$ for $f(x) = 3x^2 - 5x + 7$ and $g(x) = x^2 - 4x - 3$

A business analyst is tasked with calculating a company's total quarterly revenue. The revenue from the company's software division is modeled by the polynomial function $f(x)$, and the revenue from the hardware division is modeled by the polynomial function $g(x)$. To find the total revenue function, $(f + g)(x)$, which of the following expressions correctly represents the definition of the sum of these two functions?

A logistics manager at a regional warehouse is combining two cost functions, $C_1(x)$ and $C_2(x)$, which represent shipping and handling costs respectively based on package weight $x$. To correctly manage these models, match each component of the function addition process with its corresponding role.

An inventory manager uses two polynomial functions, $P_1(x)$ and $P_2(x)$, to model the stock levels of two different warehouse sections. Arrange the following steps in the correct order to determine the final simplified polynomial for the total inventory function $(P_1 + P_2)(x)$.

In professional data modeling, the sum of two polynomial functions $f(x)$ and $g(x)$, denoted by $(f + g)(x)$, is mathematically defined by adding the individual function expressions together and kemudian simplifying the result by combining like terms.

A retail inventory planner is modeling the storage costs for two different warehouses using polynomial functions $C_1(x)$ and $C_2(x)$. To determine the total storage cost function $(C_1 + C_2)(x)$, the planner adds the individual functions $C_1(x) + C_2(x)$ and simplifies the new polynomial by combining ____.