Problem 111
Question
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.
Step-by-Step Solution
Verified Answer
Yes, the statement makes sense. You can use \(f - g\) to determine the population of the world's less-developed regions.
1Step 1: 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.
2Step 2: 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 \(f\).
3Step 3: 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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