Describe each of the values below as a hole, a vertical asymptote or neither for the function (x)=(2x−1)(x+3)/ (x+2)(2x−1).

Question

x=−3

x=1/2

x=−2

Answer 1

This function is continuous on the whole real line except at x=1/2 where there is a "hole" and at x=-2 where there is a vertical asymptote.