According to me both should be onto. I think so because g(x) can take any value as it is onto so f(g(x)) for range should like f(x) and hence should be onto. Could you tell wbere I am wrong and give an example as well.
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Does this answer your question: https://math.stackexchange.com/questions/1141670/how-to-prove-that-the-composition-of-two-surjective-functions-is-surjective – scoopfaze Feb 02 '20 at 05:36
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Does this answer your question? How to prove that the composition of two surjective functions is surjective – scoopfaze Feb 02 '20 at 05:36
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I mean to say that there are various proofs of the statement "the composition of two surjective (onto) functions is surjective" on this site. – scoopfaze Feb 02 '20 at 05:52
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ok thanks a lot – aryan bansal Feb 02 '20 at 05:55