by the rule
for each integer n.
(i) Is F one-to-one? Prove or give a counterexample.
(ii) Is F onto? Prove or give a counterexample.
b. Define by the rule for each real number x. Is G onto? Prove or give a counterexample.
To prove is one-to-one and onto otherwise give counterexample.
Define by the rule, for all integers .
Let us suppose and assume that now for proving one-to-one must be shown.
So from the definition of , the expression can be written as follows-
To prove is onto otherwise give counterexample.
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