Final answer:
To find the elasticity function E(x) for the given demand function D(x) = √(459 - p), one must differentiate the demand function with respect to price and use the price elasticity of demand formula. Additional information about the elasticity of a different demand curve P = 2/Q helps illustrate how elasticity can vary with price changes.
Step-by-step explanation:
Elasticity of Demand Function
The question pertains to finding the elasticity function, E(x), of a given demand function, which is D(x) = √(459 - p). To find the elasticity function, we need to use the formula for price elasticity of demand:
E(p) = (p/q)*(dq/dp)
However, we are provided with additional context from a different demand curve P = 2/Q, where the elasticity is calculated as the price changes from 5 to 4 and from 9 to 8. The demand curve is explained to be inelastic in a given range when the value is less than one. To calculate the percentage change in quantity for this other demand curve, one would use the following method:
% change in quantity = (Q2 - Q1) / ((Q1 + Q2)/2)
This provides insight into how elasticity is calculated, but the initial question focused on finding E(x) for the demand function D(x) = √(459 - p), which would require differentiating the given function with respect to p and then applying the formula for elasticity to find E(x).