query: If f(x) and g(x) are onto , is it possible f(g(x)) or g(f(x)) is not onto
positive_passages.docid: 16092
positive_passages.text: How to prove that the composition of two surjective functions is surjective
negative_passages.docid: 146152
negative_passages.text: Characterising functions $f$ that can be written as $f = g \circ g$?
negative_passages.docid: 43870
negative_passages.text: Explain why a composite function in which g(x) is any function, is applied to the output of any even function h(x) , f(x) is always even.
negative_passages.docid: 106830
negative_passages.text: are $f(f(x))=f(x)$ and $f(x)=x$ equivalent?
negative_passages.docid: 53101
negative_passages.text: Is it true that the relation |A| < |B| is a sufficient condition for claiming that $f$ is a bijection?
negative_passages.docid: 32127
negative_passages.text: Example where $f\circ g$ is bijective, but neither $f$ nor $g$ is bijective
negative_passages.docid: 113022
negative_passages.text: Is the graph $G_f=\{(x,f(x)) \in X \times Y\ : x \in X \}$ a closed subset of $X \times Y$?
negative_passages.docid: 72694
negative_passages.text: Proving that $f(x) = g(x)$ for some $x \in [a,b]$ if $f,g$ continuous, $f(a)  g(b)$
negative_passages.docid: 144589
negative_passages.text: Proving that if $f(x) \le g(x)$ then $f(x_0) \le g(x_0)$
negative_passages.docid: 39090
negative_passages.text: Finding functions such that $f(g(x)) = f(x)g(x)$
negative_passages.docid: 158327
negative_passages.text: #define f(g,g2) g##g2
negative_passages.docid: 11828
negative_passages.text: continuous functions on $\mathbb R$ such that $g(x+y)=g(x)g(y)$
negative_passages.docid: 43667
negative_passages.text: Is $f(x,y(x))$ a function of two variables? If so, how is that possible?
negative_passages.docid: 46748
negative_passages.text: If $g \circ f$ is surjective, show that $f$ does not have to be surjective?
negative_passages.docid: 125644
negative_passages.text: How to check f is surjective
negative_passages.docid: 56413
negative_passages.text: $f(g(x))=g(f(x))$ implies $f(c)=g(c)$ for some $c$
negative_passages.docid: 48780
negative_passages.text: How t show $f=g$ almost everywhere