Find the domain and the vertical asymptote of the function.
-$$f ( x ) = - 2 - 4 \log ( x + 1 )$$
A) Domain $( - \infty , - 1 )$; vertical asymptote: $x = - 1$
B) Domain $( - \infty , 1 )$; vertical asymptote: $x = 1$
C) Domain $( - 1 , \infty )$; vertical asymptote: $x = - 1$
D) Domain $( 1 , \infty )$; vertical asymptote: $x = 1$

Question

Quizplus · Accepted Answer

The argument of the logarithm, $x + 1$, must be greater than 0, so $x > -1$, which gives the domain $(-1, \infty)$. The vertical asymptote occurs where the argument of the logarithm equals 0, which is at $x = -1$.

Find the Domain and the Vertical Asymptote of the Function f(x)=−2−4log⁡(x+1)f ( x ) = - 2 - 4 \log ( x + 1 )f(x)=−2−4log(x+1)

Find the Domain and the Vertical Asymptote of the Function $f ( x ) = - 2 - 4 \log ( x + 1 )$