Fe ench of the fellowing funeticns, determine (i) whether or not it is injecetive and (i) wbether or not it is surjective. (a) f: 2/5- Z/5 defiaed by f(a) - ar. (b) /: Z/6 -- Z/6 defised by f(e) - dr. (e) Let S be the set of all wqunces ( with a. e (0, 1..), and kt /:8- 0.1] be defined by

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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For each of the following functions, determine (i) whether or not it is injective and (ii) whether or not it is subjective.

For ench of the following buncticns, determine (i) whether or not it is injective and (i)
wbether or not it is surjective.
(a) f: Z/5 -- Z/5 defised by f(r) - 3r.
(b) S:Z/6 -- Z/6 defined by f(e) - dr.
(e) Let S be the set of all wequences ( with a. E (0, 1.), and kt fi8- j0, 1]
be defned by
Transcribed Image Text:For ench of the following buncticns, determine (i) whether or not it is injective and (i) wbether or not it is surjective. (a) f: Z/5 -- Z/5 defised by f(r) - 3r. (b) S:Z/6 -- Z/6 defined by f(e) - dr. (e) Let S be the set of all wequences ( with a. E (0, 1.), and kt fi8- j0, 1] be defned by
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