Question
upstudy study bank question image url

Determine the vertical asymptotes of the graph of the function. Give your answers as equations in exact form \[ g(x)=\frac{5}{x-3} \] Separate multiple equations with commas as necessary. Select "None" if applicable. Equation(s) of the vertical asymptote(s):

Ask by Lindsey Carlson. in the United States
Mar 17,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

**Equation of the vertical asymptote:** \( x = 3 \)

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

The Deep Dive

To determine the vertical asymptotes of the function \( g(x) = \frac{5}{x-3} \), we look for values of \( x \) that make the denominator zero since vertical asymptotes occur where the function approaches infinity. Setting the denominator equal to zero, we have: \[ x - 3 = 0 \] Solving this gives \( x = 3 \). Therefore, the equation of the vertical asymptote is: \[ x = 3 \] Equation(s) of the vertical asymptote(s): \( x = 3 \)

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy