1. Suppose f(x) = 6x 2 is the encoding function. a. Encode "Collin Cougars". [The answer will be numbers. Remember to include the space.] b. Find the inverse off(x). c. Using the inverse function you just found. decode the following encoded message. [The answer should be words. Put spaces where appropriate!] 16 88 70 70 28 40 28 160 4 70 40 28 10 106 4 160 52 112 160 76 148 160 34 4 130 88 106 52 118 28 160 112 124 10 58 28 16 118 d. Why is it necessary for the encoding function to be one-to-one? Explanations should be specific to this assignment, as well as clearly and thoroughly written using complete sentences. correct spelling and proper grammar