Question

The following function represents the force of gravity from a planet in Newtons as a function of distance G(r) = 2.3 r 2 where r is thousands of miles.

(a) [4 pts] Explain why this function is not one-to-one.

(b) [4 pts] Choose a domain restriction of G which makes sense in the context of the problem, and on which G is one-to-one.

(c) [8 pts] Find the inverse function r [−1](G) on that restricted domain and interpret what r [−1](5.6) means in the context of this problem.

Answer 1