Find domain and vertical asymptote of $LaTeX: \displaystyle f(x) = \ln{\left(x + 1 \right)} + 1$

The base function $LaTeX: \displaystyle \ln(x)$ has vertical asymptote $LaTeX: \displaystyle x =0$ and domain $LaTeX: \displaystyle (0, \infty)$ . $LaTeX: \displaystyle f(x)$ is shifted 1 unit left and 1 unit up. This gives the vertical asymptote as $LaTeX: \displaystyle x = -1$ and the domain as $LaTeX: \displaystyle (-1, \infty)$