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denis23 [38]
2 years ago
7

If f(x) = 5x, what is f -1 (x) ?

Mathematics
1 answer:
Gala2k [10]2 years ago
4 0

Answer:

f^{-1}(x) = \frac{x}{5}

Step-by-step explanation:

f^{-1}\left( x\right)  =y\Longleftrightarrow f\left( y\right)  =x

…………………………

f(y) = x

⇔ 5y = x

\Longleftrightarrow  y =\frac{x}{5}

\Longleftrightarrow  f^{-1}(x) = \frac{x}{5}

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Srekar needs to increase the size of the prism below by 2 inches on each side. The original prism has a length of 3, a depth of
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Answer:

a b

Step-by-step explanation:

The options as obtained from the internet.

- the new prism will have a length of 5

- the new prism will have a depth of 4

- the new prism will have a height of 2

- the volume will increase by 6 and each of the 3 dimensions is increased by 2.

- srekar could increase the volume by the same amount by just adding 6 to the height instead of 2 to each side

The volume of a rectangular prism is (length × depth × height)

Originally, length = 3 inches

Depth = 2 inches

Height = 1 inch

Original volume = 3×2×1 = 6 in³

Then, Sreka adds 2 inches to each of the dimensions,

New length = 3+2 = 5 inches

New depth = 2+2 = 4 inches

New height = 1+2 = 3 inches

New volume = (5×4×3) = 60 in³

Taking each of the statements one at a time

Statement 1

the new prism will have a length of 5

True!

Statement 2

the new prism will have a depth of 4

True!

Statement 3

the new prism will have a height of 2

False! New height = 3 inches

Statement 4

the volume will increase by 6 and each of the 3 dimensions is increased by 2.

This is false. The volume increased to 10 folds of its original volume.

Statement 5

srekar could increase the volume by the same amount by just adding 6 to the height instead of 2 to each side

Adding 6 inches to the height,

New height = 1+6 = 7 inches

New volume = 3×2×7 = 42 in³

This statement is false as the new volume from adding 2 inches to each side is 60 in³

Hope this Helps!!!

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Answer:

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Step-by-step explanation:

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