find (f/g) (x) and state the domain restriction. f (x) = 6x - 3 and g(x) = 12x^2 - 6x

Answers

Answer 1

9514 1404 393

Answer:

  (f/g)(x) = 1/(2x)

  x ≠ 1/2

Step-by-step explanation:

  [tex](f/g)(x)=\dfrac{f(x)}{g(x)}=\dfrac{6x-3}{12x^2-6x}=\dfrac{6x-3}{2x(6x-3)}\\\\\boxed{(f/g)(x)=\dfrac{1}{2x}}\quad x\ne\dfrac{1}{2}[/tex]

The domain restriction x ≠ 1/2 comes from the requirement to prevent the denominator factor 6x-3 from being zero.


Related Questions

Mrs. Ellis can divide her class into groups of 3 students or 4 students. Which of the following is a possible size of her class? plz hurry and answer

Answers

Answer:

24

Step-by-step explanation:

24/3=4

24/4=3

Please help

h(x)
=
3x2 – 2x + 13
h(3) = [?]
Be sure to simplify your answer.

Answers

Answer:

34

Step-by-step explanation:

h(x)=3x² – 2x + 13

By replacing x with 3, we get

h(3)=3×3² – 2×3 + 13

=3×9-6+13

=27+7

=34

Simplify the expression |-0.8x10|

Answers

Answer:

if x=1, then the answer is 0.8

Step-by-step explanation:

The graph to the right is called a circle graph or pie chart. The
circle represents a whole, or 100%. This particular graph
shows the average percent of the workday that is spent on
various tasks. Use this graph to answer the following question.
Email 2x%
Role-Specific Tasks 41%
Collaborating Internally x%
Searching and Gathering Info 17%
What percent of an average worker's time is spent on tasks
other than role-specific tasks?
TITIE

Answers

Answer:

41

Step-by-step explanation:

59 percent of an average worker's time is spent on tasks other than role-specific tasks.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given, The graph to the right is called a circle graph or pie chart. The circle represents a whole, or 100%. This particular graph shows the average percent of the workday that is spent on various tasks. Use this graph to answer the following question.

Email 2x%

Role-Specific Tasks 41%

Collaborating Internally x%

Searching and Gathering Info 17%

Since Who;e graph conclude to 100%

Thus,

2x + 41 + 17  +x = 100

3x = 42

x = 14

Time spent other than Role specific = 100 - 41 = 59

Therefore, Other tan role specific tasks average worker spent on other task is 59 percent of their time,

Learn more about percentage here:

https://brainly.com/question/29306119

#SPJ1

What the image of (- 6, 5) after a reflection over the line y = x ?

Answers

Answer:

25

Step-by-step explanation:

A table and 8 chairs together weigh
97 lb. If the table weighs 25 lb,
how much does each chair weigh?

Answers

Each chair weighs 9 lb.

Find the inverse of the following functions (a) y = ln(3x + 7)​

Answers

Answer:

[tex]y = ln(3x + 7) [/tex]

let inverse be m :

[tex]m = ln(3x + 7 ) \\ {e}^{m} = 3x + 7 \\ {e}^{m} - 7 = 3x \\ \\ x = \frac{ {e}^{m} - 7 }{3} [/tex]

subsitute m with x :

[tex]{ \boxed{ \boxed{ {y}^{ - 1} = \frac{ {e}^{x} - 7 }{3} }}}[/tex]

Where do you put the commas in 200000000000000000000

Answers

Answer:

Step-by-step explanation:

200,000,000,000,000,000,000

your welocome

Answer:

200,000,000,000,000,000,000

Step-by-step explanation:

What you do is instead of starting from the left you start from the right and after every three digits you add a comma.

I hope this helped!!

Frank is excited to fly his new drone. It takes off from a picnic table that is 1 meter high, and
it climbs 3 meters per second.
Write an equation that shows how the drone's elevation in meters, y, depends on the number
of seconds it has been flying, X.

Answers

Answer:

y=1+3x

Step-by-step explanation:

y= 1 + 3x

Hope I helped

Answer:

y= 3x + 1

Answer Explanation:

                                                             

Mack beat his opponent by
SEVEn points in a game which
ends when a total of
101 points have been scored.
How many point did Mark
have​

Answers

Answer:

94

Step-by-step explanation:

When a player reaches 101 points, they win. So that means that Mack reached 101 points. Since his opponent was seven points behind, we can subtract 7 from 101 to find Mark's, that is Mack's opponent's, score:

[tex]101-7=94[/tex]

Therefore, we can safely conjecture that Mark scored 94 points.

When there is -2^2, how come the answer is negative and not positive.

Answers

Answer:

the negative cancels out the positive

asap due today
oooooooooooooooooo

Answers

Answer:

3x - 2 = 10

Step-by-step explanation:

The answer is 3, 2, 10

Inverse equation

1. g(n)= 2+(n+2)^3
2. f(n)= 1/2n+3/2




Answers

Answer:

1

[tex]g(n) = 2 + {(n + 2)}^{3} [/tex]

let the inverse be m :

[tex]m = 2 + {(n + 2)}^{3} \\ {(n + 2)}^{3} = m - 2 \\ n + 2 = \sqrt[3]{(m - 2)} \\ n = \{ \sqrt[ 3]{(m - 2)} - 2 \}[/tex]

therefore:

[tex]{ \boxed{ \boxed{g {}^{ - 1}(n) = \{ \sqrt[3]{(n - 2)} - 2 \}}}}[/tex]

2.

[tex]f(n) = \frac{1}{2} n + \frac{3}{2} [/tex]

let inverse be x :

[tex]x = \frac{1}{2} n + \frac{3}{2} \\ \\ 2x = n + 3 \\ n = 2x - 3[/tex]

therefore:

[tex]{ \boxed{ \boxed{f {}^{ - 1}(n) = 2n - 3 }}}[/tex]

Which equation represents a line that passes through the points (5,-2) and (8,4)?
A. y= -2x*8
B. y= 1/2x-9/2
C. y=x-6
D. y=2x-12

Answers

D i think it’s d im not so sure though

Three painters worked 6 hours each at $35.50 per hour. They used
9 gallons of paint at $29.85 per gallon. Find the total charge.

Answers

Answer:

$907.65

Step-by-step explanation:

$35.50 for 6 hrs is $213 times 3 because of the 3 painters, which is $639. $29.85 times 9 is $268.65. Add together you get $907.65

Find the area of the following figure: 12 cm :3 cm 10 cm 2. 15 cm 30 cm2 36 cm 2 18 cm​

Answers

Answer:

I think it's 15 cm^2

Step-by-step explanation:

I not sure about this

Solution :

Area of a triangle :

[tex] \hookrightarrow \: \dfrac{1}{2} \times base \times height[/tex]

[tex] \hookrightarrow \: \dfrac{1}{2} \times 10 \times 3[/tex]

[tex] \hookrightarrow5 \times 3[/tex]

[tex] \hookrightarrow \: 15 \: \: {cm²}[/tex]

Including a 9% sales tax an inn charge 149.33 per night

Answers

Step-by-step explanation:

9% tax means 9% increase

multiplier ×1.09

149.33×1.09=162.7967

plss mark brainliest

Community Gym charges a $40 membership fee and a $65 monthly fee. Workout Gym charges a $190 membership fee and a $55 monthly fee. After how many months will the total amount of money paid to both gyms be the same? What will the amount be?

Answers

Answer:

Step-by-step explanation:

65m + 40 = 55m + 190

65m - 55m = 190 - 40

10m = 150

m = 15 months

which best describes the relationship between the successive terms in the sequence below?

Answers

Answer:

You haven't displayed the full question

Write 2.3181818... as a mixed number.

Answers

Answer: 2 1590909/ 5000000

Can someone explain this to me please and answer ?

Answers

it’s the last answer because the -5 is in the negative and the 6 is in the y axis

Find the area shaded in yellow

Answers

[tex] \huge \boxed{\mathfrak{Answer} \downarrow}[/tex]

To find the area shaded in yellow in the given question in square units you have to count the number of squares the yellow figure occupies. In simpler terms, you only need to count the yellow coloured squares in the given graph. In this graph, about 52 squares are shade yellow. So, the area shaded in yellow is [tex]\large\boxed{\underline{\bf \: 52 \: square \: units.}}[/tex]

Use the quadratic formula to solve x2 – 5x + 3 = 0.
ОА.
51/37
X =
2
B.
*.51473
O c. x.-311
2
D. X-
25+ 117
2
RE

Answers

Answer:

x is 4.30 and 0.697

Step-by-step explanation:

Quadratic formular:

[tex]x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} \\ [/tex]

a » 1

b » -5

c » 3

[tex]x = \frac{ - ( - 5)± \sqrt{ {( - 5)}^{2} - (4 \times 1 \times 3)} }{(2 \times 1)} \\ \\ x = \frac{5± \sqrt{13} }{2} [/tex]

Therefore, values of x :

[tex]x = \frac{5 + \sqrt{13} }{2} \: \: and \: \: \frac{5 - \sqrt{13} }{2} \\ \\ x = 4.30 \: \: and \: \: 0.697[/tex]

the distance between the base of the tree and the base of the building is:
please​

Answers

my guess is "15m" is it correct ?

Answer: C) 15 meters

Explanation:

Apply the pythagorean theorem to find the missing side.

[tex]a^2 + b^2 = c^2\\\\x^2 + 20^2 = 25^2\\\\x^2 + 400 = 625\\\\x^2 = 625-400\\\\x^2 = 225\\\\x = \sqrt{225}\\\\x = 15[/tex]

The horizontal leg of the right triangle is 15 meters long. This is the distance from the base of the tree to the base of the building.

Side note: This right triangle is based off the 3-4-5 right triangle. It has been scaled up by a factor of 5.

solve 12+20 using distributive property and the gcf​

Answers

Answer:

4(3+5). the sum in the parenthesis is 8 and the gcf is four. 4*8=32

Step-by-step explanation:

Isolate the variable by adding a constant to each side of the equation 4(x-5)=25

Answers

Answer:

ummm I think u want the answer x= 11 1/4

Answer:

x = 45/4

Step-by-step explanation:

4(x - 5) = 25

4x - 20 = 25

4x - 20 + 20 = 25 + 20

4x = 45

4x/4 = 45/4

x = 45/4

What is m∠A? help haha

Answers

I’m just going to explain how I got my answer because it might help you understand for any future problems you have like this!!

So in this case, AEB is a mirrored dilation, or for easier terms, smaller twin, of CED, so if AEB was enlarged to the same size as CED, all the angle sizes would be the same, so we have to find the dilation factor of AEB. The dilation factor is basically just how many times smaller AEB is than CED. To do this, we’re going to take a similar angle measurement from both and divide them. So, angle ABE, and angle EDC would be the same angle, so we’re going to take those measurements, so 35 divided by 18 to get 1.94. That means 1.94 would be our dilation factor. In order to find angle a, we’re going to take it’s matching angle measurement on the opposite figure, which would be angle ECD and divide that by 1.94, so 43/1.94 which would give you around 22. The actual answer was like 22.164, but I would just round to 22!! Your final answer would be A= 22 degrees!! Apologies if this is wrong, I tried my best!!

Help me pls, will mark brainliest (just 1-7)

Answers

Answer:

6

Step-by-step explanation:

take one away

PLEASE HELP


Bethany and Heather ran a mile in gym
class. Bethany finished in 8 minutes and
Heather finished in 10 minutes. Find the
difference in their times.

Answers

2 minutes is the answer difference

Evaluate the expression for the given value of the variable.

50 - 7w/3 + 4w When w=6

Answers

Answer:

60

Step-by-step explanation:

50 - 7×6 / 3 + (4×6)

50 - 14 + 24 = 60

Other Questions
I need help with this 2. SALES TAX Suppose that a state sales tax is 7%. Make a table showing theamount of tax on items with prices of $6, $8, $10, and $12. How can youfind whether the price and amount of sales tax are linearly related? Select the point that satisfies y HELP MEE PLEASEEE #11 A) and B) pleaseeee A cell sends messages to itself via A. paracrine signaling B. autocrine signalingC. the nervous systemD. the endocrine system I REALLYY NEED HELPPPPPPPPPPPPPPPPPPP BADLY PLSSSS HELP ME!!!!!!!!!!!!!!!!!!!!!!11A rectangle has sides measuring (4x + 5) units and (3x + 10) units.Part A: What is the expression that represents the area of the rectangle? Show your work. (4 points)Part B: What are the degree and classification of the expression obtained in Part A? (3 points)Part C: How does Part A demonstrate the closure property for polynomials? (3 points) plz help me only 4 b Sandra buys three more apples than Lebo bought. Lebo has seven apples left after he has sold 17 apples . If Sandra only sells eight apples , how many does she have left Which fraction is equivalent to?-3/2 'Astrological signs are tied to personality traits.' Do you agree or disagree? Explain if you attend a public high school, you are not charged admission fees or tuition does it follow then that you face no opportunity cost in attending school explain yourself Why did old man Turner agree to have Big Joes Funeral? Sort the viewpoints and topics by moving each item into the correct category.Baseball is the best sport.ViewpointsTopicsTomatoes are nutritious.Baseball is popular in America.Tomatoes are delicious.The voting age should be 16.The voting age is 18 If 24 litres of water are poured into an empty tank, then 3/4 of the tank is filled. How many litres does a tank hold? Help Please need answer in 10 minutes Solve 124m 23=34 for m.Question 5 options:m = 12m = 36m = 34m = 12 Does the following table show a proportional relationship between the variables x and y? Under which economic system would factors of production MOST LIKELY be owned by the government? a. Market b. Mixed C. Command d. Capitalist TERSEBUT Louis XIV was one of the best rulers in France? TRUE OF FALSE Can someone please tell me what 23=x+14 is? Thanks