Final answer:
The domain of the given equation is x ∈ [-0.38p,+0.38p].
Step-by-step explanation:
The domain of the given equation x = -20p+500, assuming p is nonnegative, can be determined by finding the values of p for which x is defined. In this case, we have two allowed regions: xp ≤ x ≤ xp and -xR ≤ x ≤ −xp, where xp = 0.38 and xR = 0.92. Since p is nonnegative, let's consider the first range: xp ≤ x ≤ xp. Substituting the values, we get:
0.38p ≤ x ≤ 0.38p
Since the domain is the set of possible values for x, we can determine that the domain is the range of values for x that satisfy this inequality, which is given by:
x ∈ [-0.38p,+0.38p].