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
Tems11 [23]
3 years ago
12

Use the equation to answer the following question y=(x-3(x+2)/(x+4)(x-4)(x+2)

Mathematics
1 answer:
givi [52]3 years ago
8 0

Answer:

See below

Step-by-step explanation:

The given rational function is;

y=\frac{(x-3)(x+2)}{(x+4)(x-4)(x+2)}

The given function is not continuous where the denominator is equal to zero.

(x+4)(x-4)(x+2)=0

The function is discontinuous at x=-4,x=4,x=-2

b) The point at x=-2 is a removable discontinuity(hole) because (x+2) is common to both the numerator and the denominator.

The point at x=-4 and x=4 are  non-removable discontinuities(vertical asymptotes)

c) The equation of the vertical asymptotes are x=-4 and x=4

To find the equation of the horizontal asymptote, we take limit to infinity.

\lim_{x\to \infty}\frac{(x-3)(x+2)}{(x+4)(x-4)(x+2)}=0

The horizontal asymptote is y=0

You might be interested in
Name two equivalent fractions for each <br> 2/4<br> 1/3<br> 1/4
Scrat [10]
2/4=1/2 and 4/8
1/3=2/6 and 3/9
1/4=2/8 and 3/12
8 0
3 years ago
Read 2 more answers
the area of triangle ABC is 28 ft squared what is the area of the parallelogram ABCD 14 ft squared 56 ft squared 112 ft squared
Kazeer [188]

Answer:

56

Step-by-step explanation:

A∆ = BH/2

Area of a parm is BH (base x height) so we multiply area of triangle by 2.

28 x 2 = 56. There you go

6 0
3 years ago
Read 2 more answers
NEED HELP FAST PLZZ!!!!!!!
adell [148]
The answer is A. 102.  

Have a great day!
4 0
3 years ago
(question is on picture linked)
nalin [4]

here y+13=15

so we got y=2

then y+13+x+12=30

then we will get x=3

7 0
2 years ago
PLEASE HELP ME I WILL DO ANYTHING
Ivenika [448]

Answer:

we can tell if line ac is straight

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • A company makes video games. The price of a video game is modeled by the function p(x) = 30x + 2, where x is the number of years
    10·2 answers
  • What two consecutive numbers have a product of 22952
    7·2 answers
  • What is the sum of all the interior, exterior, and central angles in a convex hexagon?
    6·1 answer
  • Hanley made 14 out of 35 shots in his last basketball game. What percent did he shoot ?
    5·2 answers
  • What is the horizontal asymptote of the function f(x)=2^x-5?
    15·1 answer
  • multiply an odd number by an odd gives an even number. Is it certain, likely, even, unlikely or impossible.
    10·2 answers
  • Grant mows lawns and charges $15 per lawn. He paid his brother $45 to help him. How many lawns could Grant mow and make at least
    6·2 answers
  • There 30 giraffes and 6 penguins at the zoo which satement correctly compares the to quanties
    15·2 answers
  • Matthew accepted a new job at a company with a contract guaranteeing annual
    8·1 answer
  • If f (x ) = 3x , what is f (-2) and f (2)?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!