Math Algebra?

Question

g(x)=log[base2](-x-3)-2 using transformation of f(x)=log[base2]x. What are the coordinates of the asymptote

What is the domain of g(x) in interval notation

Answer 1

g(x) is a transformation of f(x) that is reflected in the y-axis, then shifted 3 units left and 2 down (there are other ways of expressing this; it could also be described as being shifted 3 units right, reflected in the y-axis and then shifted 2 units down, for instance.)

The vertical asymptote will be the line x=3, and the domain will be (-∞, -3).