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Question

Let f : {a, b}* (a, b}* be given by f (n) = ax for
every value of n  ε {a, b} then f is

a.

One to one not onto

b.

One to one and onto

c.

Not one to one and not onto

d.

Not one-to one and onto

Answer: (a).One to one not onto

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Q. Let f : {a, b}* (a, b}* be given by f (n) = ax for every value of n  ε {a, b} then f is