Inverses 1. Given f(x) = log x + 1 Find f'1(x). Show all steps. 2. Given f(x) = 3 + 49", find f'1(x). Show all steps. Exponential FUthions 3. The beanstalk Jack planted with magic beans is 4 inches long on the day it sprouts and grows 15% each day. 3. Write an equation to model the length of the beanstalk, y, after x days. b. How long will it be after 2 weeks? Show what you enter into your calculator. c. How long will it take for the beanstalk to be 20 feet long? Show your algebraic steps and what you enter into your calculator. 4. Jamal bought an LED television for $2000. The value decreases exponentially by about 23% each year. 3. Write an equation to model the value of the television, y, after x years. 5. You invest $385 at 6.5% annual interest, compounded continuously. a. Write an equation to model the balance of the account, y, after x years. b. How long will it take for your money to double? Show your algebraic steps and what you enter into your calculator. 6. The number of milligrams of a drug in a person's system after t hours is given by the function D = 308'0'35'. a. Write a sentence to describe the meaning of 30 in the context of this story b. Write a sentence to describe the meaning of .35 in the context of this story. c. How much of the drug is in a person's system after 3 hours? Show what you enter into your calculator. d. What is the half-life of the drug? (In other words, how long does it take for half ofthe drug to be gone?) Show your algebraic steps and what you enter into your calculator