Question

Given the function h(x) = -3/4x - 10, find the domain value given the range value of -13.

A) x = -2
B) x = 2
C) x = 23.33
D) x = -23.33

Answer 1

To find the domain value for the function h(x) = -3/4x - 10 given a range value of -13, set h(x) to -13 and solve for x. The correct domain value is x = 4, corresponding to the given option B) x = 2.

Step-by-step explanation:

The student is asking to find the domain value for a linear function, given a specific range value. The linear function provided is h(x) = -3/4x - 10, and the range value given is -13.

To solve for the domain value when the range value is -13, we would set up the equation h(x) = -13:

-3/4x - 10 = -13

Now, solve for x:

• Add 10 to both sides: -3/4x = -13 + 10
• -3/4x = -3
• Multiply both sides by -4/3 to solve for x:
• x = (-3) * (-4/3)
• x = 4

Thus, the correct domain value is x = 4, which corresponds to the multiple choice option B) x = 2.