Another term for bracketing images and merging them is "HDR" photography (High Dynamic Range).
The idea is that you take a few images where the content is identical but the exposure settings are not... usually it's three images but it can be a different number. The idea is that you can improve the "dynamic range" of the camera by taking an under-exposed image to avoid blowing out the bright areas and take an over-exposed image to avoid clipping the dark areas, and also a normally exposed image. Then merge the best parts of these images to create a single image where neither the bright nor dark areas are blown.
Some cameras have a built-in feature to do this. But you can do this with ANY camera by taking a few "bracketed" images and then using software on your computer to merge them.
It helps greatly if the camera did not move (e.g. use a tripod) so the three exposures are basically identical except for the exposure settings) but often the software can still deal with movement as long as it wasn't too much.
Photomatix (HDR Soft) is one such popular program, but there are many others.
You might do a search for "HDR software" or "HDR photography". Also look for videos on YouTube as there are NUMEROUS tutorials on how to do this.
Hope this helps!