Dental x-rays are important for diagnosis.

Not all decay is detected by a visual/tactile exam.  X-rays provide information about your oral health, such as, cavities, gum diseases, abscesses and tumors.  X-rays can prevent larger, restorative work and loss of dentition.
How much radiation am I exposed to with dental x-rays?
Dr. Abeyta and her team employ the A.L.A.R.A Principle (As Low As Reasonably Achievable). This principle allows us to reduce the patient’s exposure to radiation by determining the type of x-ray, quality control procedures, x-ray positioning in adjunct with a lead apron with thyroid collar. Did you know that you can have approximately 10,000 x-rays before exceeding the maximum allowable dose?  (Ask the Dentist- Windsor Star)
It is NOT in your best interest to refuse dental x-rays because of the very small amount of radiation you receive from them. To keep your oral health in the best condition it is recommended having dental x-rays once a year.