Let f: B → C and g: A → B be two functions and let h = f ∘ g. Given that h is…

2005

Let f: B → C and g: A → B be two functions and let h = f ∘ g. Given that h is an onto function. Which one of the following is TRUE?

  1. A.

    f and g should both be onto functions

  2. B.

    f should be onto but g need not be onto

  3. C.

    g should be onto but f need not be onto

  4. D.

    both f and g need not be onto

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Correct answer: B

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