The range of the function f(k) = k2 + 2k + 1 is {25, 64}. What is the function’s domain? A. {5, 8} B. {-5, -8} C. {3, 8} D. {4, 7} E. {4, 8}

Answers

Answer 1
Answer:

Answer:

Option D

The domain of the function is: {4, 7}

Step-by-step explanation:

We know that for polynomial functions like f(k) = k^2 + 2k + 1 its domain and its rank are all real numbers. However, for this case we are told that the function range is: the set {25, 64}

This means that the function is bounded.

Then the domain of f(k) are all possible values of k such that f(k) belongs to the interval {25, 64}.

To find the limit values of k then we do f(k) = 25

k^2 + 2k + 1 = 25

k^2 + 2k -24 = 0

Now we factor the expression:

(k + 6)(k-4) = 0

Then k = 4 and k = -6.

Now we do f(k) = 64

k ^ 2 + 2k +1 = 64\n\nk ^ 2 + 2k -63 = 0

We factor the expression:

(k + 9)(k-7) = 0

k = -9 and k = 7.

Finally we search between the options given an interval that matches.

The option that matches is option D {4, 7}

Finally, the domain of the function is: {4, 7}


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Answers

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You own you have only $1,000 the price of a TV set is 1150 can you buy the TV if you get a 10% discounts

Answers

Answer:

No

Step-by-step explanation:

If you do 1150 divided by 10 you would get 115 would get 1035 so no

How do you do something like this?

(8/10)^-2

Answers

( 4 / 5 )^-2 = ( 5 / 4 )^2 = 25 / 16 ;

Suppose Richard walks 1 kilometer every 10 minutes. How many meters further can he walk in 1 hour at this new rate?

Answers

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That would mean 

6 kilometers : 60 minutes

Hope that helps and correct me if I'm wrong!

Please help me with this math question if you can.

Answers

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What is 34-34

(A) 0

(B) 90

(C) 7

(D) 12

Answers

Answer:

0

Step-by-step explanation:

Answer/Step-by-step explanation:

34 - 34= 0

It basically undoes what is being done and gets rid of its worth.