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 vertical asymptote of the function $f(x) = 2 + \log(x + 3)$ occurs where the argument of the logarithm, $x + 3$, equals zero. Solving $x + 3 = 0$ gives $x = -3$, which is where the function is undefined and approaches infinity, indicating 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 $f ( x ) = 2 + \log ( x + 3 )$