Let A={x,y} and let S be the set of all strings over A . Define a relationC from S to S as follows: For all strings s and t in S , (s,t)∈Cmeans thatt=ys⁢.Then C is a function because every string in S consists entirely of x ’s andy ’s and adding an additional y on the left creates a single new string that consists of x ’s and y ’s and is, therefore, also in S . Find C(x) andC(yyxyx) .

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