Answer:
(i) f : {1, 2, 3, 4} {10}
f(1) = 10, f(2)
= 10, f(3) = 10, f(4) = 10
is not
one-one.
(i) g : {5, 6,
7, 8}
{1, 2, 3, 4}
Here g(5) = 4 and g(7) = 4
for
is not
one-one.
(iii) h : {2, 3, 4, 5}
{7, 9, 11,
13}
= 7, h(3) =
9, h(4) = 11, h (5) = 13
is one-one.
Also for every
there exists
distinct value of x in {2, 3, 4, 5}
function ?h?
is onto.
Hence function
?h? is invertible.
is given by
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