Choose the graph that shows functions that are inverses of each other. How do you know?
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- The number of unread emails in Bryan’s account is 100. This number grows by 15 unread emails a day. The function N(t)=100+15t represents the relation between the number of emails, N, and the time, t, measured in days. (a) Determine the independent and dependent variable. (b) Find N(7) . Explain what this result means.The number of unread emails in Anthony’s account is 110. This number grows by 25 unread emails a day. The function N(t)=110+25t represents the relation between the number of emails, N, and the time, t, measured in days. (a) Determine the independent and dependent variable. (b) Find N(14) . Explain what this result means.Alex finds the inverse of the function: f(x)=x+10/7 and concludes that the inverse of a function is always a function. Is he correct? Explain. Feel free to use drawings and examples in your answer.
- Tom and Jerry are school mates and they are playing a number- guessing game. Tom asks Jerry to think of a positive number, triple the number, square the results and then add 7. If Jerry’s answer is 43, what was the original number? Use the concept of the inverse function and its domain and range in your solution.Tom and Jerry are school mates and they are playing a number-guessing game. Tom ask Jerry to think of a positive number, triple the number,square the results and then add 7.If Jerry's answer is 43,what was the original number? Use the concept of the inverse function and its domain and range in your solutionJohn pays an amount P12.00 per hour for using the internet at Cyber Cafe. During Saturdays and Sundays, he enjoys and spends most of his time playing online games with his friends. The maximum number of hours he spend at Cyber Cafe ever weekend is 4 hours(a) How much will John pay for using the internet for 1 hour? 2 hours? 3 hours? 4 hours?(b) Make a table of values.(c) Write a function that relates that amount spend and thetime consumed.(d) Find the inverse of the function in item 2.(e) If John has decided not to play the game in the internet cafe this weekend, what is the maximum amount that he would have saved?
- The function defined by F(x)= 9/5x+32 gives the temperature F(x) (in degrees Fahrenheit) based on the temperature x (in Celsius). a. Determine the temperature in Fahrenheit if the temperature in Celsius is 25*C b. Write a function representing the inverse of F and intercret its meaning in context. c. Determine the temperature in Celsius if the temperature in Fahrenheit is 5*FOn his first day of school, Kareem found the high temperature in degrees Fahrenheit to be 76.1°. He plans to use the function to convert this temperature from degrees Fahrenheit to degrees Celsius. What does C(76.1) represent? the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius the temperature of 76.1 degrees Celsius converted to degrees Fahrenheit the amount of time it takes a temperature of 76.1 degrees Fahrenheit to be converted to 32 degrees Celsius the amount of time it takes a temperature of 76.1 degrees Celsius to be converted to 32 degrees FahrenheitTomas graphed the inverse to the function f(x) = -2(x – 6)² – 9. He stated that his graph is a function. What restrictions, if any, did Tomas place on the domain of the inverse? Graph both the original function and its inverse then explain your answer.
- You and your friend are playing a number-guessing game. You asked your friend to think of a positive number. Then, you asked your friend to square and then add 1. The result after your friend did the process is 101. Using an inverse function, what number did your friend choose? number, multiply the result by 4.Johnny takes new set of crayons and draws a circle,a square,a triangle,a vertical straight and a horizontal straight line.Of these how many drawings are a function?Felix gets paid $5.25 per hour for being a waiter at a local restaurant. His boss also pays him $6 anhour to clean tables while he is working. He works a total of 20 hours each week.This situation can be modeled using the following functions:Let x represent the number of hours that Felix works each week as a waiter.Let c represent the number of hours that Felix works cleaning tables.h(x) = 5.25xf(x) = 20 - xg(c) = 6cb. Find g(f(x)). What does this composite function represent?C.What functions could be combined to represent Felix's total earnings? Use a combination offunctions to create Te), a function to represent Felix's total earnings.