The equations of any vertical asymptotes and the values of x for ny holes in the graph of rational function.
Answer to Problem 31SGR
The vertical asymptotes are
Explanation of Solution
Given information:
The given rational function is
Calculation:
If
then has vertical asymptotes whenever
And if is the factor of both and then there is a point of discontinuity at
Therefore, for the function
So the function is undefined for and
So the vertical asymptotes are and and since there is no common factor thus there will be no holes in the graph.
Hence,
The vertical asymptotes are and and there is no holes the graph.
Chapter 9 Solutions
Algebra 2
Additional Math Textbook Solutions
College Algebra
Linear Algebra and Its Applications (5th Edition)
College Algebra (7th Edition)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education