Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
The vertical asymptote is
.
Solution

Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.

Answered by UpStudy AI and reviewed by a Professional Tutor
Like
Beyond the Answer
To find the vertical asymptote of the function
, we need to determine where the argument of the logarithm becomes zero since a logarithm is undefined for non-positive values. Setting the argument equal to zero, we have
. Solving for
, we find
. Therefore, the vertical asymptote of the function occurs at
.
Additionally, as
approaches -4 from the right (values greater than -4),
will tend toward
. Thus, we can summarize that the vertical asymptote of the logarithmic function
is at
, and the function is defined for
.