Clovis is standing at the edge of a cliff, which slopes 6 feet downward from him for every 1 horizontal foot. He launches a small model rocket from where he is standing. With the origin of the coordinate system located where he is standing, and the x-axis extending horizontally, the path of the rocket is described by the formula y = −3x^2 + 120x.

(a) Give a functionh=f(x)

relating the heighthof the rocket above the sloping ground to itsx-coordinate.

-3x^2 + 126x

(b) Find the maximum height of the rocket above the sloping ground. What is itsx-coordinate when it is at its maximum height?

1332, 121

(c) Clovis measures its heighthof the rocket above the sloping ground while it is going up. Give a functionx=g(h)

relating thex-coordinate of the rocket toh.

How would I go about solving for c?