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Please Solve RD Sharma Class 12 Chapter Function Exercise 2.4 Question 20 Maths Textbook Solution.

Answers (1)

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Answer:

$g^{-1}\left ( x \right )= \frac{2}{\pi }\sin ^{-1}x$

Given:

$A= \left \{x\, \epsilon\, R-1\leq x\leq 1 \right \},f:A\rightarrow A,g:A\rightarrow A$

and

Hint:

or exists only if or is a bijection.

Solution:

is not one-one, sinceand have the same image under.

is not a bijection. So, does not exist.

Injectivity of:

So, is one-one.

Surjectivity of:

Range of

(Codomain of)

is onto.

is a bijection. So,exists.

Finding,

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