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Erdős problem 907

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Let f:R→Rf:\mathbb{R}\to \mathbb{R} be such that f(x+h)−f(x)f(x+h)-f(x) is continuous for every h>0h>0. Is it true that f=g+hf=g+h for some continuous gg and additive hh (i.e. h(x+y)=h(x)+h(y)h(x+y)=h(x)+h(y))?

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Problem row
sha256:c4de948d977fb1c5b809d8870df58687f7ffd7cce894fb3128ae1222e94b0433
Metadata
sha256:341e60764ad4c066730b60db4bddfa37afb0c8005bcdf2b45955bb5314e04c8c
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:fb72381e4e1ba8cfe9b0b176be82d04c80973874dc37e3adf6dbef4d31cb1d31
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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