Question

which of the following has its inverse function one-one an onto?

Answer 1

Answer:

Only bijective functions have inverse functions

Step-by-step explanation:

The bijective functions are those function which have following properties

1) Function is one-to-one

2) Function is onto

If we take the inverse of bijective function then we again get a function which is again a bijective.

So

The bijective functions have inverse functions which are also bijective.

All other functions does not have inverse function due to some reason

For example

if the range of function is not equal to co-domain of function then inverse image of that function is not well-defined mapping.

Hence Its inverse function does not exist.