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Need solution for RD Sharma maths class 12 chapter Functions exercise 2.1 question 7

Answers (1)

Given:

Hint: 

For a bijection, we have to prove that this function is one-one and onto

Solution:

Let and

Consider the function

Here

For one-one function, we have

 

So,is a one-one function.

For onto function, we have

Again here

Substituting the value ofin

         

     

     

is onto function.

Hence is bijective.

Note:

If any function is bijective, then it is invertible.

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