help help.......

Ans:

Hello Student,
Please find answer to the following question


is a one-one function.
So which means that every input has only one output.
Given:



Since only one statement is correct and function is one-one.
Function has output 1 at x. So at y & z, it will have either 2 or 3. f(z) can be either 2 or 3. Since its not 2, so it will definitely be 3.
And f(y) be equal to 2. So we have
f(x) = 1

Since function is one-one and also onto.
So it can be invertible. So,


Option (a) is correct.