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Explain solution RD Sharma Class 12 Chapter Functions Exercise 2.2 Question 14 maths textbook solution.
Answers (1)
Answer : is an onto function
Hint : Onto function means every range has some pre-image in the domain of function.
Given : are onto function
Prove : is an onto function
Solution :
Let then
....(i)
Since, g is onto, for each element in C, then exists a pre-image in B.
.....(ii)
From (i) and (ii)
Since f is onto, for each element in B, there exist a pre image in A
....(iii)
From (ii) and (iii) we can conclude that for each , there exist a preimage in A
Such that
is onto.
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