I need an in-depth explanation on how to solve these and why they are that way.

Q9.
Every one to one function has an inverse.
The graph of an inverse function can be found from mirroring the original graph around the line y = x. That means:
The domain of the inverse f⁻¹(x) is the range of f(x), and,
The range of the inverse f⁻¹(x) is the domain of f(x).
So, if a one to one function has a vertical asymptote of x = 7; the inverse will have a horizontal asymptote at y = 7.
The vertical asymptote of the original function is the horizontal asymptote of the inverses function, and viceversa.