Two separate words is definitely the classical way to write it, and should be marked correct, without doubt. 'Alright' has been gaining in popularity somewhat recently though, and should be an perfectly fine alternative.
Can someone explain why "you" seems to be used twice? "Du" and "deg" ? My brain is translating it twice using "you". Is there an accepted version to use "you" once? Like Føler bra du?" Or Føler du bra?"