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valentinak56 [21]
3 years ago
10

Find f^-1(x) for f(x) = 1/x^3

Mathematics
1 answer:
kow [346]3 years ago
4 0

Answer: f^{-1}(x) = \frac{\sqrt[3]{x^{2}}}{x}

<u>Step-by-step explanation:</u>

y = \frac{1}{x^{3}}

Inverse is when you swap the x's and y's and then solve for "y":

x = \frac{1}{y^{3}}

y^{3} = \frac{1}{x}

y = \frac{1}{\sqrt[3]{x}}

y = \frac{1}{\sqrt[3]{x}}*(\frac{\sqrt[3]{x}}{\sqrt[3]{x}})^{2}

y = \frac{\sqrt[3]{x^{2}}}{x}

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Answer:

Option C √32 is correct

Step-by-step explanation:

Here,

x₁ = 8

x₂ = 4

y₁ = (-3)

y₂ = (-7)

Now,

By Using Distance Formula

<em>D = √(x₂ - x₁)² + (y₂ - y₁)²</em>

<em> </em><em> </em><em> </em><em> </em>= √(4 - 8)² + [(-7) - (-3)]²

= √(-4)² + [(-7) + 3]²

= √16 + (-4)²

= √16 + 16

<u>D = √32</u>

Thus, The distance between (8, -3) and (4, -7) is √32

<u>-TheUnknown</u><u>S</u><u>cientist</u>

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Which equation can be used to determine the distance between the origin and (–2, –4)?
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The angle which is coterminal with -60 between 0 and 360 is; 300°.

<h3>Which angle is coterminal with -60?</h3>

Since, it follows that the representation of the angle -60 corresponds to 60° span in the clockwise direction.

Therefore, by going the conventional anticlockwise direction, the angle which is coterminal with -60 is; 300°.

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