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 1o g-1



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