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Question

Consider f : {1, 2, 3} → {a, b, c} and g : {a, b, c} → {apple, ball, cat}

defined as f(1) = a, f(2) = b, f(3) = c, g(a) = apple, g(b) = ball and g(c) = cat.

Show that f, g and gof are invertible. Find out f ^{-1 }, g^{-1 } and (gof)^{-1} and show that (gof)^{-1}= f ^{–}^{1}o g^{-1}

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Math

Algebra

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