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
Nadya [2.5K]
3 years ago
12

At what x value does the function given below have a hole? f(x)=x+3/x2−9

Mathematics
1 answer:
S_A_V [24]3 years ago
4 0

Answer:

hole at x=-3

Step-by-step explanation:

The hole is the discontinuity that exists after the fraction reduces. (Still doesn't exist for original of course)

The discontinuities for this expression is when the bottom is 0. x^2-9=0 when x=3 or x=-3 since squaring either and then subtracting 9 would lead to 0.

So anyways we have (x+3)/(x^2-9)

= (x+3)/((x-3)(x+3))

Now this equals 1/(x-3) with a hole at x=-3 since the x+3 factor was "cancelled" from the denominator.

You might be interested in
A guitarist sets a goal to practice 200 minutes each week. If he only is going to practice 5 days during the week, which of the
vodomira [7]

Answer:

40

Step-by-step explanation:

40x5=200

200 divided by 5 =40

5 0
2 years ago
The "sum" of two numbers is: A the result when both numbers are added together B the result when the first number is subtracted
Irina-Kira [14]

Answer:

A the result when both numbers are added together

5 0
3 years ago
Read 2 more answers
The sum total of the angles in a triangle is equal to______degrees
Lynna [10]
The sum total of the angles in a triangle is equal to 180° degrees.
5 0
3 years ago
Read 2 more answers
A river has a current of 2km per hour. Find the rate of Fred’s boat in still water if it travels 30 km downstream and the same t
ratelena [41]

Answer:

32km

Step-by-step explanation:

8 0
3 years ago
Tyler used 6 gallons of paint to paint 4/7 of a fence. How many gallons will it take to paint the whole fences
vredina [299]

Answer:

Step-by-step explanation:

(6 gal)/(4/7 fence) = (21/2 gal)/fence = (10.5 gal)/fence

5 0
3 years ago
Other questions:
  • Use the ratio table to find the unit rate with the specified units. (Last problem on my homework)(PLEASE HELP ME! )
    8·1 answer
  • How to solve for x and steps on how to do that with the final answer
    10·1 answer
  • What number is this 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000?
    14·1 answer
  • please help me vote brainiest
    9·1 answer
  • Given that KJ = MN and that L is the midpoint of JN, prove JKL = NML.
    8·1 answer
  • Jen recently rode her bicycle to visit her friend who lives 6 miles away. On her way there, her average speed was 8 miles per ho
    13·1 answer
  • Pls help me with math ASAP
    5·2 answers
  • 7th grade math help please and thank you
    10·2 answers
  • Plz answer, i will give the first person to answer brainliest! :)
    13·2 answers
  • Ben's living room is a rectangle measuring 11 yards by 204 inches. By how many feet does feet does the length of the room exceed
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!