International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 3, Pages 213-216
doi:10.1155/S0161171200003847
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.