The mapping f:A rarr B is invertible if ...

The mapping `f:A rarr B` is invertible if it is

A

injective

B

surjective

C

bijective

D

none of these.

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Knowledge Check

The mapping f: A rarr B is invertible if is ___

A

injective but not surjective

B

surjective but not injective

C

bijective

D

none of these

Let the mapping f:NN rarr NN defined by f(x) = {(x+1", when" x in NN", an odd"),(x-1 ", when" x in NN", an even"):} The mapping f will be ___

A

many-one and into

B

one-one and onto

C

many -one and onto

D

bijective mapping

Let the function f:A rarr B have an inverse function f^(-1): B rarr A , then the nature of the function f is __

A

one-one and onto

B

one-one and into

C

many-one and onto

D

many-one and into

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