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Prove or disprove if the composition fg is surjective than f and g are surjective?
Wiki User
∙ 11y ago
counter example:
f(x)= arctan(x) , f:R ->(-pi/2 , pi/2)
g(x)=tan(x) , g:(-pi/2, pi/2) -> R
(g(x) isn't surjective)
f(g(x))=arctan(tan(x))=x f(g(x)): R -> R
Although, if two of the three are surjective, the third is surjective as well.
Wiki User
∙ 11y ago
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