Functions Question 342

Question: If for two functions g and f, gof is both injective and surjective, then which of the following is true

[Kurukshetra CEE 1998]

Options:

A) g and f should be injective and surjective

B) g should be injective and surjective

C) f should be injective and surjective

D) None of them may be surjective and injective

Show Answer

Answer:

Correct Answer: A

Solution:

It is obvious.