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3241004551 [841]
2 years ago
10

F(x) = 2x + 5 g(x) = x-5 divided by 2 What is f(g(x))?

Mathematics
1 answer:
Lemur [1.5K]2 years ago
6 0

Answer:

f(g(x)) = 2x + 5(x - 5 ÷ 2)

Step-by-step explanation:

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Zoologists are studying two newly discovered species of insects in a previously unexplored section of rain forest. They estimate
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The population Pa of insect A after t years is given by the equation 
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while the population Pb of insect B after t years is 
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We equate the above expressions to find the number of years t it will take the two populations to be equal: 
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     1.3(1-0.038)^t  = 2.1(1-0.046)^t
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These are the equations that can be used to determine how long it will be before the populations of the two species are equal.

We can now solve for t:
     (0.962)^t / (0.954)^t = 2.1/1.3
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After taking the log of both sides of our equation, number of years t is
     t = log (2.1/1.3) / log (0.962/0.954)
     t = 57 years
Therefore, it will take 57 years for the population of insect A to equal the population of insect B.
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