Suppose f$($x$)=7$x$-3$ id the ending function

A$.$Encode "COLLIN COUGARS" The answer should be numbers.Remember to include the space.

Code:

B$.$ Find the inverse function, function, f$^-1($x$)$ Show Your Work

C$.$ Using the inverse function from part b$,$ decode the following encoded message. First, write down the decoded numbers, then write the corresponding letters. The answer should be words.

$39,4,81,81,186,4,95,25,186,130,109,123,60,95,46,186,4,123,32,186$

$88,172,186,39,4,151,102,123,60,137,32,186,130,32,4,130,102,95,130$

Message:

d$.$ Why is it necessary for the encoding function to be one$-$to$-$one? Your explanation should be specific to this problem, as well as clearly written using complete sentences, correct spelling, and proper grammar.