purpledragon12345
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The function f(x) = -5x + 11 has a range given by (6,1, -14, -19, -29).
Select the domain values of the function from the list

Sagot :

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Answer:

Domain: {1, 2, 5, 6, 8}

Step-by-step explanation:

Substitute the given values for the range into the given function, to solve for the domain (x).

f(x) = 6:

6 = -5x + 11

6 - 11 = -5x + 11 - 11

-5 = -5x

[tex]\frac{-5}{-5} = \frac{-5x}{-5}[/tex]

1 = x

f(x) = 1:

1 = -5x + 11

1 - 11 = -5x + 11 - 11

-10 = -5x

[tex]\frac{-10}{-5} = \frac{-5x}{-5}[/tex]

2 = x

f(x) = -14:

-14 = -5x + 11

-14 - 11 = -5x + 11 - 11

-25/-5 = -5x/-5

5 = x

f(x) = -19:

-19 = -5x + 11

-19 - 11 = -5x + 11 - 11

-30/-5 = -5x/-5

6 = x

f(x) = -29:

-29 = -5x + 11

-29 - 11 = -5x + 11 - 11

-40/-5 = -5x/-5

8 = x

Therefore, given the range of {6,1, -14, -19, -29}, the domain of the given function is: {1, 2, 5, 6, 8}.

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