THE INVERSE EXPONENTIAL FUNCTION There are two parent functions, y = |z| and y = b7, that have inverses that you do not yet know how to write in i = form. You will come back to in the world, the inverse of an exponential function is also important. y = |z| later. Since exponential functions are so useful for modeling situations you know a lot about it. Use y = 37 as an example. Even though you may not know how to write the inverse of y = 37 in y = form, a. You know how to make an = y table for the inverse of y = 37. Make the table. b. You also know what the graph of the inverse looks like. Sketch the graph. . You also have one way to write the equation based on your al gebraic shortcut that you used in part (d) of problem 5-40. Write an equation for the inverse, even though it may not be in y = form. d. If the input for the inverse function is 81, what is the output? If you could write an equation for this function in y = form, or as a function g(z) = , and you put in any number for &, how would you describe the outcome