It is completely plausible to undergo a mammogram after having a breast augmentation. The suggestion is to have a pre-operative mammogram as well as another mammogram 6 months after the procedure has been completed in order to create a baseline to follow by. However, caution should be made as it is possible to rupture the implant from the mammogram. The squeezing during the procedure may cause the implant to rupture.
Even afterwards, excessive c-rays can slowly tear down the shell that surrounds the implant. Always make sure that you inform the technician that you have breast implants. It is also important to note that there are clinics across the country whose technicians have been certified to work with breast implants and you should choose one of these centers for safety reasons.
There are many issues associated with implants and the mammogram. For starter, the mammogram cannot see clearly through the implant and therefore multiple images may need to be made so that a clear image can be seen. On top of this fact, there is also another issue associated with the implants themselves. Over time, breast implants can slowly build up calcium deposits. These calcium deposits can be interpreted as a cancerous growth even when there is not one. This further leads to biopsies and further surgery to check for the growth as well as removal of the implant itself.
Remember that care must always be taken and that informing the technician of your implants is an important precaution as we don't need the stress of being told that we may have cancer when it is actually a false positive. This becomes an emotional issue that no one wants to come to terms with, especially not if it is a false positive.
The above resources will provide you with must have information if you are serious about undergoing a surgery procedure in the near future.