![monsterduckgoose](/avatars/28227.jpg)
monsterduckgoose
20.07.2019 •
Mathematics
Find the horizontal or oblique asymptote of f(x) = negative 3 x squared plus 7 x plus 1, all over x minus 2
Solved
Show answers
More tips
- H Health and Medicine How to Help Men Gain Weight?...
- A Auto and Moto Discovering the Leader: What is the Most Expensive Car in the World?...
- H Health and Medicine Hangover: How to Get Rid of It Quickly?...
- S Style and Beauty How to Choose the Right Fur Coat and Avoid Regrets?...
- C Computers and Internet How to Create a Folder on Your iPhone?...
- G Goods and services How to sew a ribbon: Tips for beginners...
- F Food and Cooking How to Make Mayonnaise at Home? Secrets of Homemade Mayonnaise...
- C Computers and Internet Which Phone is Best for Internet Surfing?...
- F Food and Cooking Everything You Need to Know About Pasta...
- C Computers and Internet How to Choose a Monitor?...
Answers on questions: Mathematics
- M Mathematics Which graph represents a circle whose equation is (x + 3)2 + (y - 1)2 = 4? у X (1) (3) y -X (2)...
- H History Which would most likely have been supported by states’ rights advocates during the 1860 presidential election?...
- W World Languages Anyone want to play among us with me the code is JFRHMF...
- M Mathematics PLEASE ANSWERRRRRRRRRRRRR Hector states that both of the scatter plots show a linear relationship with a positive association. Is Hector’s statement right or wrong?...
- M Mathematics If the total time represented is 24 hours, how many of those hours will be spent going to school?...
Ответ:
Finding the horizontal and oblique asymptote of
f(x)= (-3x^2+7x+1)/(x-2)
Solution:
For Horizontal Asymptote:
Line y=L is a horizontal asymptote of the function y=f(x), if either limx→∞f(x)=Llimx→∞f(x)=L or limx→−∞f(x)=Llimx→−∞f(x)=L, and LL is finite.
Calulate limits:
limx→∞(1x−2(−3x2+7x+1))=−∞
limx→−∞(1x−2(−3x2+7x+1))=∞
Thus, there are no horizontal asymptotes.
For Oblique Asymptote:
Do polynomial long division (−3x2+7x+1)/(x-2)=−3x+1+3/(x−2)
The rational term approaches 0 as the variable approaches infinity.
Thus, the slant asymptote is y=−3x+1y=−3x+1.
Ответ:
12z
Step-by-step explanation: