Let 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
(a) Show that f,g and g0f are invertible?
(b) Find the inverse of f,g and g0f
(c) Verify that (g0f)
^−1 = f^−10g^
−1
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