Does Shaving Make Your Hair Grow Back Thicker and Faster?

Shaving has no effect on your hair growth. The only thing that it can do is make your hair look thicker. This is because when you cut the naturally tapered tips of each hair as you do when you shave, they become blunt and thus look thicker and darker.  

Shaving does not cause hair to grow back thicker nor faster. Shaving only affects the hair at the superficial layer of the skin, so it can't influence how it grows and it does not alter the actual follicle of hair beneath the skin. The hair follicle stays intact. Initially, when the hairs are growing out after shaving, they can appear/feel thicker due to the hairs growing out from the base. Once the hairs fully grow out to their original length, they should have the same thickness prior to shaving.

Shaving cannot make the hair grow thicker.
Before each laser hair removal treatment patients are asked to shave the area to prevent burning the skin. After each laser treatment you should have less and less hair growth and most patients do not need to shave every day like they used to. The roots of the hair that grows back in between the treatments will be damaged and when some hair grows back it should be thinned and lighter. So, shaving that hair is not going to make it grow back thicker.