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
vitfil [10]
3 years ago
9

Using interval notation , identify the domain for the function!!! Math 3 - 10 points. Help needed

Mathematics
1 answer:
In-s [12.5K]3 years ago
7 0

Answer:

The domain by the interval notation is (-∞ , 3)∪(3 , 4)∪(4 , ∞) ⇒ 3rd answer

Step-by-step explanation:

* Lets revise how to find the domain of the function

- The domain is all values of  x  that make the expression defined

- To find where the expression is undefined put the denominator

  equal 0, to get the values of x which make denominator equal to 0

- The domain will be all the real number except those values

* Now lets solve the problem

∵ f(x) = (x² - 9)/(x² - 7x + 12)

- Let the denominator x² − 7x + 12  equal to  0

∵ x² − 7x + 12 = 0 ⇒ factorize it

- Consider the form  x² + bx + c

- Find a pair of integers whose product is c and whose sum is b

- In this case, whose product is 12 and whose sum is −7

- They are -3 and -4

- Write the factored form using these integers.

∴ (x -3)(x - 4) = 0 ⇒ put each bracket = 0

∴ x - 3 = 0 or x - 4 = 0

∵ x - 3 = 0 ⇒ add 3 to both sides

∴ x = 3

∵ x - 4 = 0 ⇒ add 4 to both sides

∴ x = 4

∴ The domain of f(x) is all real number except 3 and 4

* The domain by the interval notation is

 (-∞ , 3)∪(3 , 4)∪(4 , ∞)

You might be interested in
What is the value of the expression below? 2[3(42+1)]-23
s2008m [1.1K]

Answer:

235

Step-by-step explanation:

42+1

43

3 times 43

129

129 times 2

258

258-23

235

4 0
3 years ago
Read 2 more answers
1. Sam knows that his MP3 player has 40% of its battery life left and that the battery
Korolek [52]

Complete question :

Sam knows that his MP3 player has 40% of its battery life left and that the battery

charges by an additional 12 percentage points every 15 minutes. What percent of

the mp3's battery will be charged when Sam and his family leave? If mp3 was plugged in an hour before his family plan to leave.

Answer:

88%

Step-by-step explanation:

Time before leaving = 1hour

Current percentage = 40%

Charge rate = 12% every 15 minutes

Therefore,

Charge rate per minute :

12% / 15 = 0.8% per minute

Charge recieved after one hour (60 minutes) :

0.8% * 60

= 48%

Therefore, total charge after just before leaving is:

Current percentage + percentage received

40% + 48%

= 88%

6 0
3 years ago
Select the three ratios that represent the number of red cars to blue cars
Afina-wow [57]
We need to see the picture of the problem
8 0
3 years ago
Please help me on this one I’m stuck
crimeas [40]
14
hoped this helped ☺
7 0
3 years ago
Which is the next term in the pattern 1/12, 4/15, 9/18, 16/21
photoshop1234 [79]
I’m guessing it would be 21/24
5 0
3 years ago
Other questions:
  • Place the decimal point in the answer to make it correct. Explain your reasoning. 3.9853 x 8.032856 = 32013341
    10·1 answer
  • Δ ABC is isosceles. If m∠A = 100°, m∠B = (12x + 4)°, and m∠C = (14x - 2)°, find x.
    8·1 answer
  • Multiply. Simplify answer. <br> 2*2 1/3
    7·1 answer
  • A random sample of 25 roundtrip flights between Philadelphia and Dallas has an average airfare of $393.50 with a sample standard
    15·1 answer
  • 52 /? = 20/100<br><br>what is the missing denominator??? ​
    9·1 answer
  • Find the cube root of -8.
    7·1 answer
  • Hi<br> khgbv h<br> ljv nkmj<br> gv hnyhrdsrfgbnkjnbhbbbhjik
    5·2 answers
  • 75% of n is 45. n is what percent of 90?​
    5·2 answers
  • Where is the head-quarter of Microsoft Corporation?
    12·2 answers
  • Which construction is illustrated above?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!