Final answer:
To solve the equation h(x) = -x - 4 = -6 for x, we add 4 to both sides yielding -x = -2, then multiply by -1 to find x = 2.
Step-by-step explanation:
The question asks us to solve the equation h(x) = -x - 4 = -6 for the value of x. To find the value of x, we can rearrange the equation by adding 4 to both sides, which gives us -x = -2. Then, to isolate x, we multiply both sides by -1, which results in x = 2.
The step-by-step process is as follows:
- Add 4 to both sides: -x - 4 + 4 = -6 + 4
- Simplify: -x = -2
- Multiply by -1: x = 2
Therefore, the correct answer is B. x = 2.