3 years ago

Which of the following enriches a community?

Health

1 answer:

Nikitich [7]3 years ago

3 0

C. the celebration of ethnicity

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4 years ago

Drix gets on a bus whose sign indicates that its destination is what

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4 years ago

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

Delvig [45]

Answer:

<em>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</em>

Explanation:

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

Ley y = g(x)

$y=41x^3+a\\$

replace y with x

$x=41y^3+a\\$

make y the subject of the formula:

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

Replace y with $g^{-1}(x)$

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

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

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

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