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Chapter 2: Problem 111

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I have two functions. Function \(f\) models total world population \(x\) years after 2000 and function \(g\) models population of the world's more-developed regions \(x\) years after \(2000 .\) I can use \(f-g\) to determine the population of the world's less-developed regions for the years in both function's domains.

Short Answer

Expert verified
Yes, the statement makes sense. You can use \(f - g\) to determine the population of the world's less-developed regions.

Step by step solution

01

Understand Functions \(f\) and \(g\)

Function \(f\) models the total world population \(x\) years after 2000. Function \(g\) models the population of the world's more-developed regions \(x\) years after 2000.
02

Analyze How the Functions Relate

The total world population \(f\) is made up of the population of the world's more-developed regions \(g\) and the population of the world's less-developed regions. Hence, the population of the world's less-developed regions may be determined by subtracting the population of the more-developed regions \(g\) from the total world population \(f\).
03

Test the Statement

The difference \(f - g\) gives the population of the world's less-developed regions, because it subtracts the more-developed regions from the total population. Therefore, the statement does make sense.

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