"faithfully representing" is correct and usable in written English.
You can use it to refer to accurately representing something (e.g. beliefs, opinions, goals, etc.), usually in a formal setting. For example: The report was faithfully representing the company's financial situation.
In making these claims without faithfully representing the evidence, he has obstructed fact and misled parliament and the public.
In the original Japanese version, the Japanese artist Maki Sasaki's illustrations are simple and bulbous, like children's manga, faithfully representing each plot point's actions and characters.
Speaker Ryan's commitment to faithfully representing the people of Wisconsin and making the case for conservatism have never changed, and his years of principled public service make him a trusted leader in our party".
For politicians, there is an incredibly difficult interface between faithfully representing the views of their electorate, while also shaping those views to fit their own opinions.
The mathematical model formulation rigorously accounts for energy and momentum conservation, while faithfully representing the interfacial phenomena affecting solidification phase change and particle motion.
For neural circuits consisting of complex cells, this suggests that, in addition to each complex cell extracting visual features, a biologically plausible number of complex cells are capable of faithfully representing visual stimuli.
"My job is to faithfully represent the president at all times," he said.
It may well be in this incarnation that the character of the affair is most faithfully represented..
It may well be in this incarnation that the character of the affair is most faithfully represented.
Partly it was a reaction against Scholasticism, as though this had faithfully represented Aristotle's own philosophy.
In this parochialism he faithfully represents a country where decentralisation has brought benefits but narrowed political horizons.
