If galaxies are receding from us at faster than the speed of light how can we see them?
The easiest question in the universe to answer, and the most obvious answer, though there are few, very few, who recognized, or even will recognize, the answer for what it is.
The speed of light is a fixed constant, we know that. Nothing can travel faster than it, locally relatively speaking. But there also exists a principle called the "principle of uncertainty" that many think applies solely to the micro-verse and particles. They are dead wrong. It applies to any object's position and velocity and distance -- the speed of light is a fixed constant -- and most especially any closing or opening in distance in space-time, which warps space-time singularity into space-time plurality for all observers of the object at any distance(s).
Per the speed of light being a fixed constant no observer can ever observe the reality of any object at any distance from that observer. This fact breaks down the observer's observational relativity to the object into "uncertainty." It breaks down the real and unobservable universe into multiple relative and observable "space-time" universes for multiple observers variable in distances from the object.
The reality of the object is a matter of the unobservable, the dark, universe regarding all observers at any distance from the object due to the fixed constancy of the speed of light. All observers at a distance are relative to the cartoon object existing in the light only during the time in took, or takes, light to go from the object to the observer. Light doesn't go instantaneously from object to observer, it takes time, and that time warps elastically little to largely depending upon distances light traveled.
You never observe the reality of any galaxy at a distance, only the cartoonishly relative, the elastically relative, galaxy in the light delivered to you per the fixed constant of the speed of light. So you have to triangulate "space-time" if you think you can, you and the real object unobserved and unobservable, and the relative object in the light and behind your reals in time (due to the fixed constant of the speed of light), all the way to billions and billions of years behind "real-time" -- thus eventually, inevitably, disappearing into oblivion in points -- in time.
A galaxy, or any other traveler, can distance itself from Earth faster than the speed of light relative to the measurement of the constant of it on Earth. That traveler will never be traveling faster than the speed of light locally to it. But of course the reality of that traveler locally in its own space-time is not relative to your locality locally in your own space-time. Your cartoon galaxy, or even Star Trek's Enterprise if that were possible, would be long gone -- long, long, gone -- from wherever you are observing and locating it in the universe in your own reality of space-time. To you, as a distant observer, that is elastically faster than the speed of light, elastically faster even than time, though in the fact of the matter it is no such thing. It is only "uncertainty," as a matter of the "principle of uncertainty" taking over at the macro-verse level.... taking over really and largely. The greater and greater in space-time a distance grows, the greater a redshift grows, that is the elasticity of relativity's cartoon-like space-time -- in the light -- and the elasticity of the shift of the light. The lesser, and lesser, a distance closes to any observer, the lesser and lesser a redshift -- that is the elasticity of relativity's cartoon-like space-time -- in the light -- and the elasticity of the shift of the light.
Nothing, no object, no localized reality of any object, in what I described above got any closer to the speed of light -- locally to it -- than 300,000kps (rounded off of course).