Question

If the range of the function f(x)= 5x − 3 is {-13, -8, -3, 12, 17}, what is its domain?

A: {0, 1, 2, 3, 4}
B: {-2, -1, 0, 1, 2}
C: {-2, -1, 0, 3, 4}
D: {-4, -3, 0, 3, 4}

Answer 1

Answer: Choice C: {-2, -1, 0, 3, 4}

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Work Shown:

Plug y = -13 into the equation and solve for x
y = 5*x - 3
-13 = 5*x - 3
-13 + 3 = 5*x - 3 + 3
-10 = 5*x
5*x = -10
5*x/5 = -10/5
x = -2
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Plug y = -8 into the equation and solve for x
y = 5*x - 3
-8 = 5*x - 3
-8 + 3 = 5*x - 3 + 3
-5 = 5*x
5*x = -5
5*x/5 = -5/5
x = -1
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Plug y = -3 into the equation and solve for x
y = 5*x - 3
-3 = 5*x - 3
-3 + 3 = 5*x - 3 + 3
0 = 5*x
5*x = 0
5*x/5 = 0/5
x = 0
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Plug y = 12 into the equation and solve for x
y = 5*x - 3
12 = 5*x - 3
12 + 3 = 5*x - 3 + 3
15 = 5*x
5*x = 15
5*x/5 = 15/5
x = 3
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Plug y = 17 into the equation and solve for x
y = 5*x - 3
17 = 5*x - 3
17 + 3 = 5*x - 3 + 3
20 = 5*x
5*x = 20
5*x/5 = 20/5
x = 4
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The domain is the set of x value results we got, so the domain is {-2, -1, 0, 3, 4}