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
12345 [234]
3 years ago
5

Explain why f(x) is continuous at x=3

Mathematics
2 answers:
Katen [24]3 years ago
7 0

Answer:

b. f is not defined at x=3

Step-by-step explanation:

The given function is

f(x)=\frac{x^2-x-6}{x^2-9}

One of the conditions for continuity is that; the function must be defined at x=a

If we plug in x=3, we obtain;

f(x)=\frac{3^2-3-6}{3^2-9}

f(x)=\frac{9-3-6}{9-9}

f(x)=\frac{0}{0}

Since the function is not defined at x=3, it is not also continuous at x=3

The correct choice is B

Elina [12.6K]3 years ago
6 0

Answer:

f is not  defined at x = 3 ⇒ answer (b)

Step-by-step explanation:

∵ f(x) = x² - x - 6/x² - 9 is a rational function

∴ It will be undefined at the values of x of the denominator

∵ The denominator is x² - 9

∵ x² - 9 = 0 ⇒ x² = 9 ⇒ x = ±√9

∴ x = ± 3

∴ f(x) can not be defined at x = 3

∴ The f(x) can not be continuous at x = 3

∴ The answer is (b)

You might be interested in
What is the answer to (5x20)-6
Zina [86]

Answer:

the awnser is 94 because 5×20=100-6=96

3 0
3 years ago
The difference of two number is 3. Their sum is 13.<br> Find the numbers.
Sloan [31]

Answer:

8 and 5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the distance between Point A: (-4, -3) and Point B (1, 4) ?
Sholpan [36]

Answer:

sq rt 74 which is approx 8.6

Step-by-step explanation:

use distance formula

6 0
2 years ago
Is 1/10 and 3/33 equivalent
Ostrovityanka [42]
1/10 = .1, and 3/33 = .0909090... it is equivalent if you estimate.
3 0
3 years ago
in a church, the ratio of adults to children is 6 to 11. if there are 306 people in the church, how many children are there?
serg [7]

Answer:

198

Step-by-step explanation:

If the ratio of adults to children is 6:11, then 6/17 of the people are adults and 11/17 of the people are children.

11/17 × 306 = 198

There are 198 children.

7 0
3 years ago
Other questions:
  • There are 32 female performers in a dance recital.The ratio of men to women is 3:8.How many men are in the dance recital?
    9·2 answers
  • Please help me with question 3
    8·1 answer
  • Factor 5(2x+7)+4(2x+7)<br>enter your answer in the box​
    13·2 answers
  • Which set of numbers can represent the side lengths, in inches, of an acute triangle?
    14·2 answers
  • Which of the following could be the lengths of three sides of a triangle?
    5·1 answer
  • Which two consumer rights would customers depend on when returning a damaged item for a refund?
    7·2 answers
  • How many number are their between 4,000 and 10,000 such that each digit in number is larger than digit on its left but its small
    10·1 answer
  • Fill the missing values in the ratio table
    12·1 answer
  • Help me pls pls pls
    11·1 answer
  • A farmer takes 1 week to fill 3 bins of squash. At this rate, how long will it take to fill 240 bins?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!