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
solniwko [45]
3 years ago
12

H(x)= 9/x( x^2-49) Determine the domain of the function

Mathematics
1 answer:
Norma-Jean [14]3 years ago
8 0

Answer: The domain of the function h(x) = \frac{9}{x(x^2-49)} is:

Interval Notation: (-∞ , -7) ∪ (-7 , 0) ∪ (0 , 7) ∪ (7, ∞)

Set-Builder Notation: { x | x ≠ 0 , 7 , -7 }

All real numbers besides 0, 7, and -7.

Step-by-step explanation:

In order to find the domain of your rational function, we need to simplify it:

h(x) = \frac{9}{x(x^2-49)} = \frac{9}{(x)(x+7)(x-7)}

Remember, most of the time, the domain of a rational function consists of all real numbers besides zero.

To find the domain, we equal the equations in the denominator to zero.

x=0

x+7=0 --> x=-7

x-7=0 --> x=7

So all real numbers except for 0, -7, and 7 are in the domain of this rational function.

You might be interested in
cavalieri's principle states that two solids with equal height and base areas but different cross-sectional areas have equal vol
Ad libitum [116K]

Answer:

Option B False

Step-by-step explanation:

we know that

The <u>Cavalieri's principle</u> states that if two or more figures have the same cross-sectional area at every level and the same height, then the figures have the same volume

therefore

The cross-sectional area at every level must be the same

so

The statement is False

5 0
3 years ago
Read 2 more answers
The manufacturing cost of a cell phone was $136. Sellers first marked up the cost by 25 percent. Sales were poor, so sellers dec
lilavasa [31]
136×25%=136×25/100= 3 400/100=34
so the markeup value is
136+34= 170
170×17%=170×17/100=2 890/100=28.9
170-28.9=141.1
Selling price=136+170=306
8 0
3 years ago
Read 2 more answers
Solve 16.24 divided by 1000
cricket20 [7]
16.24 ÷ 1,000 = 0.01624

Good luck! <3

5 0
3 years ago
Read 2 more answers
A cylinder has a radius of 8 cm and a height of 14 cm.<br><br> What is the volume of the cylinder?
sdas [7]
The volume of a cylinder is represented by the following equation...

V=<span><span>πr^2 x </span><span>h
</span></span>
Volume = π(64)(14)

Your volume is 896π

6 0
3 years ago
What is the value of x in <br> 150-35x=45
Annette [7]
Your answer is x = 3 because if you take 150 and subtract it by both sides: 
 150 - 35x = 45
-150           -150

you have to cross out both 150 and -150, take 45 and subtract 150 which will give you -105. 
  -35x = -105 

take -35 and divide by both sides. Cross out the two -35's. Take -105/-35 which your answer is x = 3. Hopes this helps. :)

~Shadow
7 0
3 years ago
Other questions:
  • What is the common denominator for theses: 5/6, 7/9, 3/5
    14·1 answer
  • Which expression is equivalent to 1/4(8-6x+12)?
    9·1 answer
  • Dave earns 7.50 per hour and has deductions if 36 per week, If Dave works 40 hours per werk, what will his next pay be for 1 wee
    8·2 answers
  • Greatest to least 0.04;0.5;0.021;1.33
    13·1 answer
  • Help plssssssssssssssssssss
    14·1 answer
  • What is the side lengths in inches of a cube with volume of 1 cubic inch
    9·1 answer
  • (2r - 6)(-5r+4) what is the product
    9·1 answer
  • Write each number using powers of 10.
    13·1 answer
  • HELP 25 POINTS LIKE HELP SOLVE THIS ASAP!!!
    7·1 answer
  • Solve three fourths times two thirds(PLEASE i'M FAILING MATH!!!!!!!!!!!!!!!!!!)
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!