Composition of functions

Kandasamy Muthuvel

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 24, 1-4

Abstract:

We prove that if f and g are functions from the reals into the reals such that the composition of g with f is continuous and f is both Darboux and surjective, then g is continuous. We also prove that continuous and Darboux can be interchanged in the above statement.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:519567

DOI: 10.1155/S0161171200003847

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