Question

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}​

Answer 1

The domain of function h(x) = 9 + 6x with the given range {-12, -3, 15, 24} is {-3.5, -2, 1, 2.5}

Step-by-step explanation:

The domain of a function is the set of all possible input values for that function. In this case, the function h(x) = 9 + 6x has a range of {-12, -3, 15, 24}. To determine the domain, we need to find the corresponding x values for these range values.

Let's go through each value:

For -12: -12 = 9 + 6x => -21 = 6x => x = -3.5

For -3: -3 = 9 + 6x => -12 = 6x => x = -2

For 15: 15 = 9 + 6x => 6 = 6x => x = 1

For 24: 24 = 9 + 6x => 15 = 6x => x = 2.5

Therefore, the domain of function h is {-3.5, -2, 1, 2.5}.