Answer:
. (i) F : S T is defined
as
F = {(a, 3), (b, 2), (c, 3)}
so
F is an onto function.
As RF = T, to F is an onto function.
Also different elements of S have different F-images,
so F is one-one function.
is
both one-one onto function
is
defined as
.
(ii)
is
defined as
F?1 = {(a, 2), (b, 1), (c, 1)}
Clearly F(b) = 1 and F(a) = 1
is
not one-one.
Hence F is not invertible.
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