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jenyasd209 [6]
3 years ago
9

Which expression is equivalent to 24 Superscript one-third

Mathematics
1 answer:
Tems11 [23]3 years ago
3 0

Answer:

The expression that is equivalent is 2 RootIndex 3 StartRoot 3 EndRoot :

2\sqrt[3]{3}

Step-by-step explanation:

Hi

As we have 24 Superscript one-third, this is (24)^{\frac{1}{3}} =\sqrt[3]{24}.

\sqrt[3]{24}=\sqrt[3]{8*3}=\sqrt[3]{8} \sqrt[3]{3}, therefore

\sqrt[3]{8} =2, so \sqrt[3]{8} \sqrt[3]{3}=2\sqrt[3]{3}.

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Answer:

The inverse of function f(x)= (x+7)^5 is \mathbf{f^{-1} (x)=\sqrt[5]{x}+7}

Option A is correct option.

Step-by-step explanation:

For the function f(x)= (x+7)^5, Find f^{-1} (x)

For finding inverse of x,

First let:

y=(x+7)^5

Now replace x with y and y with x

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Now, solve for y

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So, the inverse of function f(x)= (x+7)^5 is \mathbf{f^{-1} (x)=\sqrt[5]{x}+7}

Option A is correct option.

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