A one-to-one function and its inverse can be used to make information secure. The function is used to encrypt a message, and its inverse is used to decrypt the encrypted message. The following numerical values are assigned to each letter of the alphabet:
Using the function f(x)=3x-1, the message “HELLO” would be encrypted 23 14 35 35 44 since H corresponds to 8 and f(8)=3(8)-1=23, etc.
This week, each student is to use a one-to-one function to encode a word, phrase, or sentence that relates to some topic that we have covered in this class. Post your function and your encrypted message to the discussion forum by selecting "Add a new discussion topic" below. Label the Subject "'s message." Then, choose one of your classmate's posts to decrypt. You will need to first find your classmate's inverse function, explaining carefully how you determined it. Then decrypt the message. Put all of this information in your reply post. In addition, throughout the week, you should reply to at least four of your other classmates' posted solutions and verify their inverse functions and decrypted messages.