Thanks Chalnoth. I believe I understand. What I forget is that me, the observer on earth, has also moved in space, due to expansion since the big bang. This would take what would of been a 42 milliion year journey (for CMBR to reach earth (observer) from the origin), if both objects were fixed and static, take 13.7 billion years due to the change in locations as a result of expansion (of observer and origin) resutling in a much more circuitous and longer path for light to travel. The redshift of the light would then indicate the object to be 46 billion light years away since the CMBR was first emitted thus giving us a rough size of the visible Universe.Yes, I noticed that. I was trying to say that that reasoning doesn't work. Hopefully the car analogy I used was a sufficiently good engineering example for you to see it. If not, here's another, different analogy that is no less relevant: saying the expansion is faster than the speed of light is like saying that the height of a building is faster than 30m/s. The statement doesn't even make sense.
Sort of. The issue here is that it is not only the redshift that matters, but also how our universe has expanded over time. The redshift only tells us the total amount of expansion since the light was emitted. How fast that expansion occurred over time determines both how far away the object was and how long ago it emitted that light.
One rough analogy I might use is that of a person driving between two locations. Imagine, if you will, that knowing the redshift is sorta kinda like knowing the origin and destination, e.g. knowing that the person drove from Denver to Chicago. But knowing the origin and destination is not sufficient to know how far the driver went or how long it took to do it: we also need to know how fast the driver was moving, and what specific route the driver took. With a light ray, the speed is, of course, given by the speed of light. But the path the light ray takes is given by how space expands in the intervening time.
To go back to the example of the furthest light we see, that from the Cosmic Microwave Background, that light was emitted a mere 42 million light years away, but because of the expansion of the universe it was forced to take a path towards us that made it take 13.7 billion years. That that stuff that originally emitted that light is now some 46 billion light years away is interesting but incidental.