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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