04 аа, аз The symbol denotes a map between the two sets A = {ai, A2, A3, a4} and B = (6 b2 b₃ ba {bı, b2, bz, b4} that s

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04 аа, аз The symbol denotes a map between the two sets A = {ai, A2, A3, a4} and B = (6 b2 b₃ ba {bı, b2, bz, b4} that sends each element a; into bi, i = 1, 2, 3, 4. If f= 1 2 3 4 4 1 3 2 2 1 2 3 4 and g= 3 2 1 4 ( a) what types of maps are they (i.e. surjections, injections, one-to-one etc.)? b) Find fg and gf.