  #### Please Solve RD Sharma Class 12 Chapter Function Exercise 2.4 Question 12 Maths Textbook Solution. Given:

defined by .

Hint:

Bijective function should be fulfil the injective and surjective function.

Solution:

be two elements of domain, such

is one-one.

Let  be in the co-domain, such that

.

is onto.

So,  is a bijection and hence, it’s invertible
Let                                                                                                                                                     …(i)

Injectivity of

Let   be two elements of domain.

So,  is one-one.

Subjectivity of :

Let  be in the co-domain, such that .

(domain)

is onto.

So,  is a bijection, hence it’s invertible.

Let

…(ii)

So,                                                                                                                                             [from (ii)]

.

…(iii)

Let                                                                                                                                           …(vi)

.

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