Which Of The Following Functions Have Inverse Defined On The Ranges:

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Question

Which of the following functions have inverse defined on the ranges:

None of these
&

easy

Solution

Correct option is

We know that only one-one onto functions are inversible. In (a), it is not one-one and hence not inversible. In (b) and (c) both are one-one onto and both are inversible. Since

-one.