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

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