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