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cupoosta [38]
3 years ago
15

Let f(x)=⌊x/2⌋. We learned that the floor and the ceiling functions are NOT invertible, but we also learned about the set of pre

images of any value in the Range, the set of images. Keeping that in mind, give your answer in interval notation if necessary.
Find f−1({4}).
Mathematics
1 answer:
romanna [79]3 years ago
7 0

Answer:

Value of f^{-1}(\{4\}) is 8.

Step-by-step explanation:

Given function,

f(x)=\big[\frac{x}{2}\big]

we have to find : f^{-1}(\{4\})

It is known that,

[x]=the greatest integer <=x

Then,

f(x)=\big[\frac{x}{2}\big]

\implies x=f^{-1}(\big[\frac{x}{2}\big])

Taking x=8 we get,

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

\implies f^{-1}(\big[\frac{8}{2}\big])=8

\implies f^{-1}([4])=8

\implies f^{-1}(\{4\})=8                                          ( Since [4]=4 )

Hence the value of f^{-1}(\{4\}) is 8.

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Semenov [28]
1/2 + 1/4 is 3/4 gallons. converted into sixteenths, that is 12/16 gallons which is 12 servings
6 0
3 years ago
MUSIC A song has 28 beats in 4 seconds. At this rate, how many beats are there in 30 seconds?
Deffense [45]
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In short, Your Answer would be: 210 beats

Hope this helps!
4 0
3 years ago
Read 2 more answers
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Bad White [126]

Answer:

I think 14 days

Step-by-step explanation:

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3 years ago
What ratio is equivilent to the ratio 3:4
Assoli18 [71]

Answer:

6:8       x2

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15:20    x5

Step-by-step explanation:

Just multiply both of the number by the same number and you will find an equavilant ratio.

Hope this helps!

*I also added a few different answers so it can give you a clear idea.

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3 years ago
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White raven [17]

Answer:

question 1 = -4,-2

question 2= you already did it

question 3= do 56+672

question 4= 24 gallons

question 5=28 miles per gallon.

Step-by-step explanation:

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hope this helped :b

6 0
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