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7. Consider the function f(x)=₂ a. By graphing the function, explain why f is one-to-one. b. Find a formula for the inverse function of f (call this function f-¹). c. What is the value of f¹(f (8))? d. What is the value of f(f-¹(49))?

7. Consider the function f(x)=₂ a. By graphing the function, explain why f is one-to-one. b. Find a formula for the inverse function of f (call this function f-¹). c. What is the value of f¹(f (8))? d. What is the value of f(f-¹(49))?

Intermediate Algebra
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.CR: Review Problem Set
Problem 13CR
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7. Consider the function f(x)==-²₂. a. By graphing the function, explain why f is one-to-one. b. Find a formula for the inverse function of f (call this function f-¹). c. What is the value of f-¹(f (8))? d. What is the value of f(f¹(49))? 8. At CheapCo Convenience Stores, employees receive an increase in their hourly wage each year. A certain employee's hourly wage in dollars per hour, t years after she starts working for CheapCo, is given by the formula w(t) = 9.50 +0.30t. a. What is w(10)? What does this value tell us about the employee's hourly wage? b. What is w¹(14)? What does this value tell us about the employee's hourly wage? In real life, why might somebody be interested in finding and understanding the inverse function w ¹7 c.
Transcribed Image Text:7. Consider the function f(x)==-²₂. a. By graphing the function, explain why f is one-to-one. b. Find a formula for the inverse function of f (call this function f-¹). c. What is the value of f-¹(f (8))? d. What is the value of f(f¹(49))? 8. At CheapCo Convenience Stores, employees receive an increase in their hourly wage each year. A certain employee's hourly wage in dollars per hour, t years after she starts working for CheapCo, is given by the formula w(t) = 9.50 +0.30t. a. What is w(10)? What does this value tell us about the employee's hourly wage? b. What is w¹(14)? What does this value tell us about the employee's hourly wage? In real life, why might somebody be interested in finding and understanding the inverse function w ¹7 c.
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