Yes. The amount of radiation you are exposed to when you receive a dental x-ray is extremely minute.
Advances in the development of modern digital x-ray machines confine the radiation beam to only the area that is being x-rayed. Current x-ray films also have much higher speeds resulting in even shorter exposure times to radiation. Nowadays, with the use of digital x-rays, radiation is further reduced by another 90%.
Government regulations also require that x-ray machines are tested and calibrated for safety and accuracy at regular intervals.