Question
Determine the vertical asymptotes of the graph of the function. Give your answers as equations in exact form. \[ h(a)=\frac{1}{a^{2}+5} \] Separate multiple equations with commas as necessary. Select "None" if applicable.
Ask by Gonzalez Ortiz. in the United States
Mar 17,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
There are no vertical asymptotes.
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 asymptotes of the function \( h(a)=\frac{1}{a^{2}+5} \), we need to determine where the denominator, \( a^{2}+5 \), equals zero. However, since \( a^{2} + 5 \) is always positive for all real values of \( a \) (as the minimum value occurs at \( a=0 \) resulting in \( 5 \)), there are no values for which the denominator becomes zero. Thus, there are no vertical asymptotes for this function. Answer: None