Interpreting an Inverse: Let LaTeX: f\left(x\right)f ( x ) compute the height in feet of a rocket after LaTeX: xx seconds of upward flight.

(a) Explain what LaTeX: f^{-1}\left(x\right)f − 1 ( x ) compute.

(b) Interpret the solution to the equation LaTeX: f\left(x\right)=3000f ( x ) = 3000.

(c) Explain how to solve the equation in part (b) using LaTeX: f^{-1}\left(x\right)f − 1 ( x ) (not actually solve it because you can't)