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  • Please Solve RD Sharma Class 12 Chapter Function Exercise 2.4 Question 24 Subquestion (i) Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter Function Exercise 2.4 Question 24 Subquestion (i) Maths Textbook Solution.

Answers (1)

Answer:

                fog is an injection.

Given:

                f:A\rightarrow A,g:A\rightarrow A
Hint:
                Injection means every domain has a distinct range.
Solution:
Let x,y be two elements of the domain \left ( A \right ) such that

                \left ( fog \right )\left ( x \right )=\left ( fog \right )\left ( y \right )

                f\left ( g\left ( x \right ) \right )=f\left ( g\left ( y \right ) \right )

                g\left ( x \right )= g\left ( y \right )   [As,f is one-one]

                x=y  [As,g is one-one]

So, fog is an injection.

 

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