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Archangel Macsika

Let X = {a, b, c} defined by f : X ®X such that f = {(a, b), (b, a), (c,c)}. Find the values of f–1, f2 and f4

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X = {a,b,c} \\ f={(a,b), (b,a), (c,c)} \\ f(a) = b \\ f(b) = a \\ f(c)=c \\ f^{-1} = {(b,a), (a,b), (c,c)} \\ f^2 = ff(a) =f(b) =a \\ ff(b) = f(a) = b \\ ff(c) =f(c) =c \\ f^2 = {(a,a), (b,b), (c,c)} \\ f^4 = {(a,a), (b,b), (c,c)}

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Question ID: mtid-5-stid-8-sqid-2625-qpid-1095