Find the domain and the vertical asymptote of the function.
-$$f ( x ) = \log ( x - 10 )$$
A) Domain $( 0 , \infty )$; vertical asymptote: $x = 0$
B) Domain $( 10 , \infty )$; vertical asymptote: $x = 10$
C) Domain: $( - 10 , \infty )$; vertical asymptote: $x = - 10$
D) Domain $( 1 , \infty )$; vertical asymptote: $x = 1$

Question

Quizplus · Accepted Answer

The logarithmic function $\log(x - 10)$ is defined for $x - 10 > 0$, which gives $x > 10$, so the domain is $(10, \infty)$. The vertical asymptote occurs where the argument of the logarithm is zero, which is at $x = 10$.

Find the Domain and the Vertical Asymptote of the Function f(x)=log⁡(x−10)f ( x ) = \log ( x - 10 )f(x)=log(x−10)

Find the Domain and the Vertical Asymptote of the Function $f ( x ) = \log ( x - 10 )$