Identify the vertical asymptote of the function $f ( x ) = 2 + \log ( x + 3 )$.
A) $x = 0$
B) $x = - 2$
C) $x = - 3$
D) $x = 3$
E) The function has no vertical asymptote.

Question

Quizplus · Accepted Answer

The logarithmic function has a vertical asymptote at x=-3. This is because the function is undefined when the argument of the logarithm is less than or equal to zero. In this case, the argument x+3 becomes less than or equal to zero when x=-3. Therefore, the function has a vertical asymptote at x=-3.

Identify the Vertical Asymptote of the Function f(x)=2+log⁡(x+3)f ( x ) = 2 + \log ( x + 3 )f(x)=2+log(x+3)

Identify the Vertical Asymptote of the Function $f ( x ) = 2 + \log ( x + 3 )$