Who should not be using chemical relaxers?
Women who have permanent hair color and/or bleach in their hair should not use relaxers. Japanese straighteners and body wave treatments are also not compatible with relaxers. Children under the age of twelve should not use any of the above chemicals in their hair. Their hair follicles are not mature and these chemicals can cause permanent hair loss.
Do I need a chemical relaxer to smooth out my frizzy hair?
You do not have to use relaxer to smooth out your frizzy hair. Most of the time frizzy hair can be tamed by using the right hair products. Ellin LaVar TEXTURES, SatinSoft conditioner is excellent for leaving frizzy hair smooth and soft after washing. Also, apply products while hair is wet and allow hair to dry without too much manipulation. This allows the products to seal the cuticle.
For Black women's hair, what are the best ways to achieve silkiness if 
the hair is relaxed?
Hair that is chemically relaxed has had one of the most potentially damaging services in hair care treatments. Relaxers change the internal structure of the hair and by doing so the cuticle gets damaged too. To regain the silkiness, you must use a combination of protein/moisture reconstructors plus natural oils. These must be delivered to the hair in a well-balanced formulation to give the hair back its softness and smoothness.