1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Aleks04 [339]
3 years ago
15

Determine the equations of the vertical and horizontal asymptotes, if any, for g(x)=x-2/x^2+4x+3

Mathematics
1 answer:
KatRina [158]3 years ago
4 0

Answer:

<h2>B. x = -1, x = -3, y = 0</h2>

Step-by-step explanation:

g(x)=\dfrac{x-2}{x^2+4x+3}\\\\vertical\ asymptote:\\\\x^2+4x+3=0\\x^2+x+3x+3=0\\x(x+1)+3(x+1)=0\\(x+1)(x+3)=0\iff x+1=0\ \vee\ x+3=0\\\\\boxed{x=-1\ \vee\ x=-3}\\\\horizontal\ asymptote:\\\\\lim\limits_{x\to\pm\infty}\dfrac{x-2}{x^2+4x+3}=\lim\limits_{x\to\pm\infty}\dfrac{x^2\left(\frac{1}{x}-\frac{2}{x^2}\right)}{x^2\left(1+\frac{4}{x}+\frac{3}{x^2}\right)}=\lim\limits_{x\to\pm\infty}\dfrac{\frac{1}{x}-\frac{2}{x^2}}{1+\frac{4}{x}+\frac{3}{x^2}}=\dfrac{0}{1}=0\\\\\boxed{y=0}

You might be interested in
The manager of a bookstore ordered 480 copies of a book. The manager paid a total of $7,440 for the books. The books arrived at
Neko [114]
So 48 • 4 would equal 192 so 4 • 2 mins equals 8 mins and then you have 8 more books to unpack so 48 divide by 8 equals 6. So the answer would bc (8 mins and 6 second)
8 0
3 years ago
Find the slope of a line that is perpendicular to a line that passes through the points (7,1) and (-14,4)
d1i1m1o1n [39]
The slope of the line is -1/7, so the perpendicular line has a slope of 7
7 0
3 years ago
Please help!!!
Nuetrik [128]
Mya took out money from the bank. When she went to get a bank statement she saw she had a $-2.00 in her account but she needed the number so she took out $30. So you would do $30+(-2.00)=(-32.00)
4 0
3 years ago
Type a digit that makes this statement true.
netineya [11]
Make the number 693,000 instead of 69,300. The answer would be 86,625.
Hope this helped, I wasn’t to sure on what you were asking though.
5 0
2 years ago
Read 2 more answers
The average of students is 15 years if the age of a teacher is included their average becomes 18 years .what is the age of the t
xxTIMURxx [149]

Answer:

21; the age of the teacher

Step-by-step explanation:

15+x/2=18

Estimate - I estimated in the 20's because it only averaged up a little bit

Started with 23 and kept going until i got to my answer

21

15+21/2

36/2

18

Please mark brainliest :)

8 0
3 years ago
Read 2 more answers
Other questions:
  • If a new car has 2 transmission​ types, 3 vehicle​ styles, 2 option​ packages, 9 exterior color​ choices, and 2 interior color​
    10·1 answer
  • A cyclic quadrilateral is shown. x:y=3:7. work out the size of angle z
    10·1 answer
  • Given f(x)=cos c and g(x)=cot x, what are the domain and range of f(g(x))?
    13·1 answer
  • Find the slope of the line that passes through the points (5, 8) and (9, 4).
    13·1 answer
  • PLEASE HELP!! MATH FINAL + NO EXPLANATION NEEDED :))
    8·2 answers
  • Rearranging formulae:
    7·2 answers
  • Help he ooo. Who who memememeeme
    10·1 answer
  • Prove that:<br><br>cos20°cos40°cos80°=1/8​
    12·2 answers
  • I give out brainlist. write and solve the proportion in the complele statement.
    8·2 answers
  • Please help! Please help with all sections
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!