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3 years ago

What is the inverse of the function below?

Mathematics

2 answers:

goldfiish [28.3K]3 years ago

6 0

Answer:

$\frac{ln \: x}{ln \: 3} = {f}^{-1}(x)$

Step-by-step explanation:

To find the inverse, interchange the variables and solve for y.

I am joyous to assist you anytime.

oksano4ka [1.4K]3 years ago

4 0

Answer:

$Log_{(3)}X$

Step-by-step explanation:

$f(x)=3^{X}$

$y=3^{X}$

exchange the variables x and y

$X=3^{y}$

$Log_{(3)}X=Log_{(3)}3^{y}$

$Log_{(3)}X=y$

$f^{-1}(x)=Log_{(3)}X$

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A where and a cylinder have the same radius and height . The volume of the cylinder is 48 cm 3. What is the volume of the sphere

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Given:

Sphere and cylinder have same radius and height.

Volume of the cylinder = 48 cm³

To find:

The volume of the sphere.

Solution:

Radius and height of cylinder are equal.

⇒ r = h

Volume of cylinder:

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Substitute the given values.

$48=\pi r^2r$ (since r = h)

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Divide by 3.14 on both sides.

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$$V=\frac{4}{3} \pi r^3$

$$V=\frac{4}{3} \times 3.14 \times (2.48)^3$

$V=63.85$

The volume of the sphere is 63.85 cm³.

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