Function Composition Application The number of bacteria in a refrigerated food product is given by N(T) = 24T² - 90T + 12, 4 < T < 34 where T is the temperature of the food in degrees Fahrenheit and N(T) is the number of bacteria. The food product is removed from the refrigerator and its temperature can be modeled by the function T(t) = 6t+1, where t is the time in hours and T(t) is the temperature in degrees Fahrenheit. Using these two functions, determine the composite function that gives the number of bacteria in a food product as a function of its temperature. Given N(T) = 24T2 - 90T + 12 and T(t) = 6t + 1, find the composite function N(T(t)). Note: You do not need to simplify your answer |N(T(t)) = = 86412-252-54 Using the composite function N(T(t)), determine the number of bacteria in a food product 5 hours after the food is removed from the refrigerator. Write your answer as an ordered pair and interpret your answer in a complete sentence. Note: You must use units in both parts of your sentence. Ordered Pair: after the food product is removed from the refrigerator, it will contain approximately Hint: Use hours and bacteria in the sentence. For example, the sentence should begin with 5 hours

Function Composition Application The number of bacteria in a refrigerated food product is given by N(T) = 24T² - 90T + 12, 4 < T < 34 where T is the temperature of the food in degrees Fahrenheit and N(T) is the number of bacteria. The food product is removed from the refrigerator and its temperature can be modeled by the function T(t) = 6t+1, where t is the time in hours and T(t) is the temperature in degrees Fahrenheit. Using these two functions, determine the composite function that gives the number of bacteria in a food product as a function of its temperature. Given N(T) = 24T2 - 90T + 12 and T(t) = 6t + 1, find the composite function N(T(t)). Note: You do not need to simplify your answer |N(T(t)) = = 86412-252-54 Using the composite function N(T(t)), determine the number of bacteria in a food product 5 hours after the food is removed from the refrigerator. Write your answer as an ordered pair and interpret your answer in a complete sentence. Note: You must use units in both parts of your sentence. Ordered Pair: after the food product is removed from the refrigerator, it will contain approximately Hint: Use hours and bacteria in the sentence. For example, the sentence should begin with 5 hours

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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