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sergey [27]
3 years ago
15

What is the inverse of the function f(x) = 2x + 1?

Mathematics
1 answer:
Alexandra [31]3 years ago
6 0

Answer:

f^{-1}(x) = \frac{x-1}{2}

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 2x + 1 ( subtract 1 from both sides )

y - 1 = 2 ( divide both sides by 2 )

\frac{y-1}{2} = x

Change y back into terms of x and let x = f^{-1} (x), thus

f^{-1}(x ) = \frac{x-1}{2}

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Answer:

C. 15

Step-by-step explanation:

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3 years ago
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drek231 [11]

Answer:

log5 19 - log5 x

Step-by-step explanation:

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5 0
3 years ago
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Ymorist [56]

Answer & Step-by-step explanation:

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3 years ago
The surface areas of two similar solids are 169 m2 and 81 m2. the volume of the larger solid is 124.92 m3. which proportion corr
ikadub [295]

By finding the scale factor, we will see that the volume of the smaller solid is 86.75 m³.

<h3>How to get the volume of the smaller solid?</h3>

If the solids are similar, then there is a scale factor between the two. Then the relation between the areas is equal to the scale factor squared, and the relation between the volumes is equal to the scale factor cubed.

This means that if the areas are 169 m² and 81 m², then we can write:

169 m² = (k²)*81 m²

Solving for k, we get:

k = √(169 m²/81 m²) = 1.44

Then if the volume of the large solid is 124.92m³ we can write:

124.92m³ = k³*V

Replacing k and solving for V we get:

124.92m³ = (1.44)³*V

(124.92m³/ (1.44)³) = V = 86.75 m³

If you want to learn more about scale factors:

brainly.com/question/3457976

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2 years ago
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Step-by-step explanation:

9/4 divided by 7/5

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3 years ago
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