check out vs feel out

check out and feel out both are verbs.

Word	Noun	Adjective	Verb	Adverb
check out	No	No	Yes	No
feel out	No	No	Yes	No

As verbs, check out and feel out are synonyms defined as:

Other synonyms of check out include sound out.

check out (verb)	feel out (verb)
examine so as to determine accuracy, quality, or condition	try to learn someone's opinions and intentions
announce one's departure from a hotel
try to learn someone's opinions and intentions
record, add up, and receive payment for items purchased
withdraw money by writing a check
trace
be verified or confirmed; pass inspection