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
Oksanka [162]
3 years ago
8

Help with 8 and 9??? Please help me out! Correct answers please

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
4 0

Answer:

  8.  (-∞, 0) ∪ (0, 1/3) ∪ (1/3, ∞)

  9.  f(g(x)) = 4x/(1+6x)

Step-by-step explanation:

8. For f(g(x)) to be defined, g(x) must be defined and f(g(x)) must be defined.

g(x) will be defined for all x≠0. f(g(x)) will be defined for g(x)≠4. Solving g(x)=4, we find the value of x is 1/3. (The answer choices give a clue.)

So, the domain of f(g(x)) is all x that is not 0 or 1/3. Only one answer choice makes those particular exclusions:

  (-∞, 0) ∪ (0, 1/3) ∪ (1/3, ∞)

__

9. Substituting the definition of g(x) into the expression for f(x), we get ...

\displaystyle (f\circ g)(x)=f(g(x))=\frac{2}{g(x)+3}=\frac{2}{\frac{1}{2x}+3}\\\\=\frac{2}{\left(\frac{1+6x}{2x}\right)}\\\\(f\circ g)(x)=\frac{4x}{1+6x}

You might be interested in
which of the following equation as that of a line, a circle, an ellipse, a parabola, or a hyperbola is xy=4
Vitek1552 [10]
Try this option:
according to the equation it is a hyperbola.
The graph of this function is attached.

7 0
3 years ago
Read 2 more answers
Winnie wrote the following riddle : I am a number between 60 and 100. My ones digit is two less than my tens digit. I am a prime
liraira [26]

Answer: The correct answer is 97


Step-by-step explanation:



4 0
3 years ago
Is Brainly most scanning for anyone else right now? And how do I fix it I have deadlines coming up
Studentka2010 [4]

Answer:

what-

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
a jogger runs 4 miles per hour faster downhill than uphill. if the jogger can run 5 miles downhill in the same time that it take
Serga [27]

Answer: the rate uphill is 6 mph.

The rate downhill is 10 mph

Step-by-step explanation:

Let x represent the rate at which the jogger ran uphill.

The jogger runs 4 miles per hour faster downhill than uphill. This means that speed at which the jogger ran downhill is (x + 4) mph

Time = distance/speed

if the jogger can runs 5 miles downhill, then the time taken to run downhill is

5/(x + 4)

At the same time, the jogger runs 3 miles uphill. It means that the time taken to run uphill is

3/x

Since the time is the same, it means that

5/(x + 4) = 3/x

Cross multiplying, it becomes

5 × x = 3(x + 4)

5x = 3x + 12

5x - 3x = 12

2x = 12

x = 12/2

x = 6

The rate downhill is 6 + 4 = 10 mph

8 0
3 years ago
Read 2 more answers
The quantity demanded x for a product is inversely proportional to the cube of the price p for
Harrizon [31]
X = k/p^3
125 = k/10^3 = k/1000
1000 x 125 = k
k = 125000

x = 125000/p^3

The profit is given by G = px - (125 + 2x) = p(125000/p^3) - 125 - 2(125000/p^3) = 125000/p^2 - 250000/p^3 - 125
For maximum profit:
dG/dp = 0
dG/dp = -250000/p^3 + 750000/p^4 = 0
750000 - 250000p = 0
p = 750000/250000 = 3

Therefore the price that will yeaild maximum profit is $3.
6 0
3 years ago
Other questions:
  • BRAINLIEST OFFERED!<br> Solve and Show work!! :<br> 2x²-1=x²+4x+11
    5·1 answer
  • The difference in height of two fences is 1 feet. If the shorter fence is 2 feet tall, how high is the taller fence?
    6·2 answers
  • Can you help me with this? Please and thank you.
    10·1 answer
  • tia drinks 64 ounces of water each day, witch is equal to 8 cups . during school, she drinks 6 1/2 cups of water . tia wants to
    11·1 answer
  • Make and equation for the number 12
    12·1 answer
  • Question:
    15·1 answer
  • WILL MARK AS BRAINLIEST
    13·2 answers
  • Pls whats the solution to this question.<br>(x-1÷x)^6.<br>and also solve with full workings.​
    6·1 answer
  • 27,490 to the nearest ten thousand
    6·2 answers
  • What is the area of the trapezoid? [A = 5(61 + b2)h]
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!