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

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d. all of the above (hope this helps)

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Answers

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Timothy mentioned to the medical assistant that he sometimes feels stressed when balancing studying and
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Answers

Answer:

Tell Timothy the doctor is very good at helping and offer to provide some stress and time management  pamphlets after the exam

Explanation:

He is struggling with stress.

The first one is not correct because it doesn't change his situation just by telling him books aren't going to get the best of him. They already have!

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Answers

Answer:

The answer to that question in my opinion would be yes. My reasoning behind this is because, it would improve our writing for other, more important class papers, and it would also judge what we had learned in this class. Also, it would give us a break from the same game or activity.

Writing in P.E. Is good, because it improves our writing skills for other classes. It’s not weighted as heavily, so we can try out new venues for writing papers. This extra writing is helping our writing skills and our computer and typing skills. This would help us on our efficiency in typing papers, especially in other classes.

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2
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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.

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Answers

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Explanation:

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True.

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Answer:

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Answer:

Gastric juice is a variable mixture of water, hydrochloric acid, electrolytes (sodium, potassium, calcium, phosphate, sulfate, and bicarbonate), and organic substances (mucus, pepsins, and protein). This juice is highly acidic because of its hydrochloric acid content, and it is rich in enzymes.

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Answer:

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Answer:

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