Find all horizontal and vertical asymptotes (if any). (If an answer does not exist, enter DNE. Enter your answers as a comma-separated list of equations.) r(x) = 3x2 + 6x/ x4 − 1 vertical asymptote(s) horizontal asymptote
Added by Joshua V.
Step 1
Vertical asymptotes occur when the denominator of a rational function is equal to zero. So, we set x^4 - 1 = 0 and solve for x. x^4 - 1 = 0 (x^2 - 1)(x^2 + 1) = 0 (x - 1)(x + 1)(x^2 + 1) = 0 This gives us x = 1, x = -1 as the vertical asymptotes. The equation Show more…
Show all steps
Close
Your feedback will help us improve your experience
James Kiss and 100 other Precalculus educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Find all horizontal and vertical asymptotes (if any): (If an answer does not exist, enter DNE. Enter your answers as a comma-separated list of equations.) r(x) = 8x / (x^2 - 16) vertical asymptote(s) horizontal asymptote
Sri K.
Find all horizontal and vertical asymptotes (if any). (If an answer does not exist, enter DNE.) s(x) = (12x^2 + 1) / (4x^2 + 2x - 6) vertical asymptote x = (smaller value) vertical asymptote x = (larger value) horizontal asymptote y =
R. L. H.
Find all horizontal and vertical asymptotes (if any). If an answer does not exist, enter DNE. Enter your answers as a comma-separated list of equations.
Kathleen C.
Recommended Textbooks
Precalculus with Limits
Precalculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD