How does each inverse function f-1(x) from part A relate to its original function? Describe the relationship in terms of the context for each situation. Do this for each of the three models.
Model 1: Scientists developed a process of producing fresh water from salt water. The amount of fresh water produced from salt water in x hours can be found using a logarithmic function (base e) of f(x)=3+2lnx. In the function, the number 3 represents the amount of fresh water produced after 1 hour has passed and the number 2 represents the rate of production of fresh water.
Model 2: Jack owns a company that manufactures a product that we’ll call product A. After producing and selling x units of product A, the profit his company made is represented by the cube root function f(x)=3√(x+4)^2.
Model 3: A biologist has tracked the population of Antarctic penguins in a marine reserve since 2012. He represents the population with the rational function f(x)=15x+50/x+5, where x is the number of years that have passed since 2012 and f(x) is the number of penguins.
