The variety is walk to it is in the y values (or the f(k)) values. The domain will be ur k values.So the domain, when selection is 25 is :25 = k^2 + 2k + 1k^2 + 2k + 1 - 25 = 0k^2 + 2k - 24 = 0(k + 6)(k - 4) = 0k + 6 = 0k = -6k - 4 = 0k = 4so the domain for this one is 4 and also -6when the range is 64...64 = k^2 + 2k + 1k^2 + 2k + 1 - 64 = 0k^2 + 2k - 63 = 0(k + 9)(k - 7) = 0k + 9 = 0k = -9k - 7 = 0k = 7so the domain for this one is -9 and 7summary : the domain, as soon as the range is (25,64) is -9,-6,4,7

Correct option is:

4,7

Step-by-step explanation:

The variety of the function f(k) = k² + 2k + 1 is 25, 64.

You are watching: The range of the function f(k) = k2 + 2k + 1 is {25, 64}. what is the function’s domain?

i.e. K²+2k+1 have the right to take just two values either 25 or 64

When k=5 ,k²+2k+1=36

when k= -5 ,k²+2k+1=16

when k=8 ,k²+2k+1=81

Hence, domain set cannot contain the points 5,8 and -5

The only option that do not contain any kind of of these numbers is:

4,7

Also once k=4 , k²+2k+1=25

and as soon as k=7 , k²+2k+1=64

Hence, Correct alternative is:

4,7



D. " />

Step-by-step explanation:

The given function is

*

The domain refers to the value of k, because that which the function,

*
is defined.

Observe that the right hand next is a perfect square

*

We fix for k to get;

*

when

*

*

*

*

when

*

*

*

*

The domain is " /> or

*
" />

The exactly answer is D.



Domain is <-9,-6> U <4,7>

Step-by-step explanation:

*

Range is 25, 64. Selection is the y value

LEts plug in 25 for f(k) and also solve because that k

*

Subtract 25 ~ above both sides

*

Product is -24 and sum is +2. Components are 6 and also -4

*

*

*

Do the same and solve because that x once f(x)= 64

*

Subtract 64 top top both sides

*

Product is -63 and sum is +2. Factors are 9 and -7

*

*

*

We got k values, -9,-6,4,7

Domain is <-9,-6> U <4,7>



Hence, the domain of the duty is:

4,7

Step-by-step explanation:

We are provided the selection of the function:

*
as 25,16

The role f(k) could additionally be composed as:

*

The selection is the value of the duty at part k.

1)

if f(k)=25 climate we have to find the value of k.

*

on taking square root on both side we have:

*

2)

if f(k)=64 then we have to uncover the worth of k.

*

on acquisition square root on both side we have:

*

Hence, the domain that the duty is:

4,7



Option D

The domain the the role is: 4, 7

Step-by-step explanation:

We know that for polynomial functions like

*
that is domain and also its rank room all genuine numbers. However, because that this case we room told the the function range is: the set 25, 64

This means that the role is bounded.

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

To discover the limit values of k then we execute f(k) = 25

*

*

Now we variable the expression:

*

Then k = 4 and also k = -6.

Now we carry out f(k) = 64

*

We aspect the expression:

*

k = -9 and k = 7.

Finally us search in between the choices given one interval that matches.

The choice that matches is alternative D 4, 7


Answer from: gfdsgfd5654

Option D

The domain the the role is: 4, 7

Step-by-step explanation:

We recognize that for polynomial attributes like

*
that domain and its rank room all actual numbers. However, because that this situation we are told the the role range is: the set 25, 64

This method that the duty is bounded.

Then the domain that f(k) space all feasible values the k such the f(k) belongs come the interval 25, 64.

To uncover the limit worths of k climate we perform f(k) = 25

*

*

Now we element the expression:

*

Then k = 4 and also k = -6.

Now we do f(k) = 64

*

We variable the expression:

*

k = -9 and also k = 7.

Finally us search in between the options given one interval the matches.

The alternative that matches is alternative D 4, 7

Finally, the domain of the duty is: 4, 7


Answer from: MileenaKitana

R; all quadratic attributes are walking to have actually *ALL genuine NUMBERS*.


Answer from: korleone8071
Answer is D 4,7if u put those values in the equation then u will get that calculation 25,64
Answer from: hoyanna69
f(k) = k2 + 2k + 1 = (k+1)^2The selection is what the role gives come you f(k)=25=5^2 or (-5)^2f(k)=64=8^2 or (-8)^2You need to uncover the k worths for this boundary worths to uncover the domain. Good lucky :)

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