Seeing galaxies in there infancy - how?

I've got a question relating to the Big Bang and I would really
appreciate a non-technical answer. When the Hubble Telescope looks
into deep space, it looks back into time, and we can see galaxies as
they were billions of years ago. But the Big Bang tells us that ALL
this matter was once a single point, and so was connected.

I know that during the inflationary period, space expanded at a much
faster rate than the speed of light, but I also hear that this
inflation only grew the universe from the size of a proton to the size
of a grapefruit. If the nearby galaxies were moving away from us at
faster than light speeds, then we would not be able to see them, but
we can. If we can see them, than they are moving away from us at sub-
light speed. And if they were connected to us at the very beginning,
then how is it that we can see them now as they were billions of years
ago?

Myles (Banging on big time) Paulsen