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For the function h(x) = 9 + 6x , what is the domain of function h if the range is {−12, −3, 15, 24}?

A. {−3.5, −2, 1, 2.5}
B. {−3, 6, 24, 33}
C. {−63, −9, 99, 153}
D. {−0.5, 1, 4, 5.5}

Respuesta :

146263

Answer:

A. {−3.5, −2, 1, 2.5}

Step-by-step explanation:

Remember that the range is the possible values for Y in any given function, so in this case, we are given the Y values and we have to solve the function for x:

y=9+6x

6x=y-9

So we just insert the values, the first one being -12.

So since from the options only A has -3.5 as an option that's the correct answer.

hoped this helped! <3

C

If you where to plug in -12 in the equation, you would get -63. If you were to plug in -3, you would get -9. If you were to plug in 15, you would get 99. And if you were to plug in 24, you would get 153.
-12 * 6 = -72
-72 + 9 = -63

-3 * 6 = -18
-18 + 9= -9

15 * 6 = 84
84 + 9 = 99

24 * 6 = 144
144 + 9 = 153
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