The function f(x)= -7x + 13 has a range given by {-15, 22, 29). Select the domain values of the function from the list. Complete the explanation for how you arrived at
your answer.
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Domain: {4, -9/7, -16/7}

Step-by-step explanation:

Given the function, f(x)= -7x + 13 has a range given by {-15, 22, 29):

You can get the domain values algebraically by substituting the range values into the given function.  

f(x) = -15:

f(x)= -7x + 13  

-15 = -7x + 13  

-15 - 13 = -7x + 13 - 13

-28 = -7x

Divide both sides by -7 to solve for x:

-28/-7 = -7x/-7

4 = x

f(x) = 22:

f(x)= -7x + 13  

22 = -7x + 13  

22 - 13 = -7x + 13 - 13

9  = -7x

Divide both sides by -7 to solve for x:

9/-7 = -7x/-7

-9/7 = x

f(x) = 29:

f(x)= -7x + 13  

29 = -7x + 13  

29 - 13 = -7x + 13 - 13

16  = -7x

Divide both sides by -7 to solve for x:

16/-7 = -7x/-7

- 16/7 = x

Therefore, the domain of the function, f(x)= -7x + 13 is: {4, -9/7, -16/7}

21/58.

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