In chapter 4, why does Gatsby have Jordan ask Nick if he'll invite Daisy to his house, instead of asking Nick himself?

I think that he does it for a couple of
reasons.

First, I think he might be a bit embarrassed to do
it himself.  He might think it would be easier if Jordan did it so that he didn't have
to ask such a personal favor himself.  She says Gatsby was afraid Nick would be
offended.

Second, I think he wanted Jordan to tell Nick
about Gatsby's past with Daisy.  I think he figured Jordan could tell Nick about it and
make Nick a lot more likely to be willing to help him out.