City planners anticipate an 8.2% population growth per year, including new residents and births. The population, in millions of
people, based on this increase can be modeled by the function p(x) = 2.5(1.082), where x is the number of years of tracked growth. The planners also estimate a 3% population loss over the same time period that can be modeled by the function L(p) = p(0.97).
1 answer:
<h2>Hello!</h2>
The answer is:
The correct option is the third option,
From the statement we know the function that models the population growth over the years (p(x)) but we have been told that there is an estimated loss that can be modeled by the function L(p), so in order to find which function represents the final function, we need to composite the function, which is the same that evaluate p(x) into the function L(p).
We are given:
and
So, the evaluationg p(x) into L(p), we have:
Hence, the correct option is:
The third option,
Have a nice day!
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The domain of the provide function where the function is defined is x less than the number three.
<h3>What is the domain of the function?</h3>Domain of a function is the set of all the possible input values which are valid for that function.
The function given in the problem is,
The above function is the function of logarithm. For the logarithmic function, it is defined for all the real numbers except 0.
Thus, the function should be greater than zero as,
Change the sign of both side, by changing the inequality,
Thus, the domain of the provide function where the function is defined is x less than the number three.
Learn more about the domain of the function here;