Given the function g(x) = 41x3 + a for some constant a, which describes the inverse function g–1(x)?

no restriction on the domain of g(x); inverse is g–1(x) = RootIndex 3 StartRoot StartFraction x minus a Over 41 EndFraction EndRoot
no restriction on the domain of g(x); inverse is g–1(x) = (StartFraction x minus a Over 41 EndFraction) cubed
domain of g(x) restricted to x ≥ 0; inverse is g–1(x) = RootIndex 3 StartRoot StartFraction x minus a Over 41 EndFraction EndRoot
domain of g(x) restricted to x ≥ 0; inverse is g–1(x) = (StartFraction x minus a Over 41 EndFraction) cubed

Answers

Answer 1

Answer:

A. No restriction on the domain of g(x); inverse is g–1(x) = RootIndex 3 StartRoot StartFraction x minus a Over 41 EndFraction EndRoot

Explanation:

Given the function [tex]g(x)=41x^3+a\\[/tex], we are to find the inverse of the function a shown below:

Ley y = g(x)

[tex]y=41x^3+a\\[/tex]

replace y with x

[tex]x=41y^3+a\\[/tex]

make y the subject of the formula:

[tex]x = 41y^3+a\\41y^3 = x-a\\y^3 = \frac{x-a}{41} \\y = \sqrt[3]{\frac{x-a}{41} }[/tex]

Replace y with [tex]g^{-1}(x)[/tex]

[tex]g^{-1}(x) = \sqrt[3]{\frac{x-a}{41} }[/tex]

Hence the inverse function [tex]g^{-1}(x) = \sqrt[3]{\frac{x-a}{41} }[/tex]

No restriction on the domain of g(x). Hence the correct option is A

Answer 2

Answer:

It's A

Explanation:


Related Questions

Which of the following is NOT a special dietary need?
Diabetes
Allergies
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Trying to gain weight

Answers

Answer:

Gender

Explanation:

It would be gender.

I tried helping.

So I tried helping with something, but I have lost my patience. I try to be nice to everyone, despite cooping with constant pain and depression/anxiety, but I lost it today to some online user on this website. I even called them a "Mr. Pajama Wearin' Basket Face Slipper Wieldin' Clype-Dreep-Bachle Gether-Uping-Blate-Maw, Bleathering Gomreil Jessie Oaf-Lookin' Scooner."

My question is, how do I become more calm and how do I relieve pain from stuff such as being slapped with items and cramp-like pains.

Answers

Answer:

I deal with the same thing you deal with. It happens all the time. For me what helps is putting on music. Like something upbeat that will make you happy. Try breathing in and out. Ik it sounds cliche but it works. Think about something funny like something to make you laugh.

Explanation:

Hi, I’m sorry you had to experience this kind of situation. And yeah even if try to be nice some people are just ungrateful.

But this is my answer for your questions :)
To become more calm I frequently do meditating and I use an app for that like: Calm and Headspace (though most of the things they have needs to be paid but the free things ins enough to help me calm.)
I also listen to rain sounds those sounds are calming too.

To relieve pain from stuff such as being slapped with items and cramp-like pains...Uhhmmm I just want to ask are you okay? Is someone hurting you? I hope you’re safe...

For tour question this is something that can be used for those question: Ice pack is good if your pain is swelling and I think ice pack would help it to calm down.

For cramps like pain you can buy some hot packs at walmart and they’re only a dollar and they last for about 8 hours and you can see them near the cashier. And hot packs have helped me so much.

I hope this helps :)

What is a good way to establish the credibility of online sources?
A.
checking the site for links to other credible sources
B.
assess the presentation of the material for professionalism
C.
determine if the site presents good, unbiased coverage of the topics
D.
all of the above


Please select the best answer from the choices provided.

A
B
C
D

Answers

Answer:

I would say its D. all of them above

Answer:

D. All of the above.

Explanation:

edge2021

In golf is a score of 71 better than a score of 81

Answers

Answer:

The lower the better

Explanation:

Say you are running an 12 hole.

A score of 70 is great

A score of 80 is good but need some practice

are coping strategies that help you protect yourself from difficult feelings.

Answers

Can you please explain what your question is better?

Also known as: DEFENSE MECHANISMS: Coping strategies that help you protect yourself from difficult feelings. Sometimes coping strategies can protect you from painful events, but if overused, they can stunt emotional growth.

Am I gae? If not, write a 20 paragraph essay explaing why im not gae

Answers

Answer:

everyone is gae :)

Explanation:

Simple. Your answer would be..

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:)

what is the most basic principle in physical activity that indicates doing more than normal for improvement to happen​

Answers

Answer:

The correct answer is - the principle of overload.

Explanation:

One of the three basic principles in physical fitness is overload which suggests that an individual or species that works harder than the normal or required shows greater improvement and increases their physical fitness which leads to health benefits.

Overload means increasing physical activity by training harder to get more improvement to happen. In overload, the body performs better and adjusts in order to make it better for the future.

Thus, the correct answer is - the principle of overload.

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Answers

Independent is your answer

how were they used as backgroun​

Answers

Answer:

what that makes 0 sense

Answer:

is there a file that goes with the question?

Explanation:

Baby Chen weighed 6.5 lbs (2.95 kg) at birth. How much do you expect him to weigh at his first birthday?

Answers

21 or 22 pounds, babies triple their birth weight within their first year of life

Answer:

19.5 pounds

Explanation:

I found the answer on quizlet.

If you want to improve a system you have to make sure that it is the _________ system you are using during training?
A- Fast
B- Passive
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Answers

Answer: C. Dominant

Hope this helps:)

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Answers

Answer:

I believe it's entire body.  

Explanation:

ATP is energy and for anything to occur you need energy which is ATP. If it's not the entire body then muscles will be my 2nd choice.

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Answers

Answer:.

performing several exercises three days a week for two weeks is an example of a

Explanation:long term goal

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A) to get out of class

B) to develop dependence on others

C) to prevent thoughts of hopelessness

D) to become friends with a professional

Answers

Answer: C) To prevent thoughts of hopelessness

Explanation: C is correct because hopelessness is a symptom of depression, one of the most common mental illnesses that professionals can help you with. A, B, and D are all incorrect because these are not sensible or responsible reasons why you should seek professional help.

We should  seek professional help for issues related to mental

health to prevent thoughts of hopelessness.

Mental health is very important and failure to take it seriously can lead to

negative effects such as involving in dangerous vices which could lead to

the  death of the individual.

Seeking professional help will encourage individuals to prevent thoughts of

hopelessness and be willing to start life afresh forgetting about the past.

Read more on https://brainly.com/question/18458485

which of the following is NOT a physical change to adolescence?

A. Have erratic emotions and behaviors.
B. Rapid increase in heigth and weigth.
C. Sweat and oil glands become more active.
D. Sudden increase in hormorone production.​

Answers

Answer:

D

Explanation:

Answer:

D. Sudden increase in hormone production

Explanation:

Tell us something that has impressed or surprised you about prescribing exercise

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Explanation:

You haven't show the exercise so how could we answer of it ?

Whats the exercise? so i can answer it

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Winning
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Answers

Forcing your viewpoint

2
Mr. Valdez, age 80, is being seen today for a follow-up appointment. Mr. Valdez is treasurer of the
homeowners association where he lives and is active in the community. Which of the following statements is
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O All older adults are considered senile and unable to live independently
O Allow additional time to compensate for physiological changes.
O Address older adults using their full name and title to show respect,
O A set schedule is best for older adults

Answers

Answer:

With respect to older adults, the statement that it is not therapeutic is all older adults are considered senile and unable to live independently.

Explanation:

Old age is a stage of life in which some physical and mental abilities may be diminished, compared to a young person. However, many older adults have the ability to perform productive activities and be independent.

One argument that does not describe the elderly is that they are all senile and unable to live independently, which is confirmed by the example of Mr. Valdez.

Older adults require respect and consideration, as well as the guarantee of certain facilities that allow them to function freely, to the extent of their abilities.

Regarding other options:

    Allow additional time to compensate for physiological changes, using their full name and title to show respect and set schedule are characteristics that represent positive behaviors with respect to older adults and are best for them.

All older adults are considered senile and unable to live independently is not therapeutic.

please help meee :)))))

Answers

Last option is the right answer

what to do if the patient stops breaching during Fainting ?​

Answers

I’m not sure actually....

The diet of a lactovegetarian allows
Plant foods only
Eggs and plant foods only
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Milk products and plant foods only

Answers

Answer:

The diet of a lactovegetarian allows milk products and plant foods only.

Explanation:

Lactovegetarianism is a nutritional practice that is based on the consumption of all fruits, vegetables, legumes, and greens, in addition to including milk as a source of protein.

Lacto-vegetarian eating habits are linked to some religious practices, and for decades it has spread throughout the world.

The consumption of milk in this diet includes all its derivatives, like cheese, yogurt and butter.

Regarding the other options:

By including milk, the diet is not only based on vegetables. Meat and eggs are excluded completely.

Answer:

plant food

Explanation:

its easy

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Answers

Quality of life is how good or bad your life is, leading up to this moment. Everyone has a quality of life whether it’s good or bad. For example, if someone is happy with their life and they don’t have many regrets, they have a good quality of life.

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Answers

Answer:

Aerobics

Explanation:

Aerobics is the vigorous exercises that include swimming or walking. This strengthens the heart and lungs. I would say that is a good start to "everything".

Hope This Helps

<3

That would be Aerobic

pros and cons of different forms of transportation?

Answers

Answer:

A pro for driving somewhere rather than walking is you get there faster

Explanation:

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emergency medical technician
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Answers

Answer: occupational therapy assistant and certified nurse aide.

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In Beaten by a Hair, over 30 hairs were removed from Laura Houghteling hairbrush. What did they discover when examining the sample under the microscope? Be specific.

Answers

Answer:

Explanation:

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THIS IS THE ANSWER!!!!

haiku, is short with a measure and rhyme consisting of 17 syllables which had favorable diminishing effect on tagalog literature​

Answers

Ah yes.

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