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I have posted a link there to this thread so the OP can view my work.PRECAL INVERSE FUNCTION PROBLEM PLEASE HELP?

Clovis is standing at the edge of a cliff, which slopes 4 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= -2x^2 + 120x.

a.) Give a function h = f(x) relating the height h of the rocket above the sloping ground to its x-coordinate.

0 = -2x^2 +124

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

MAX: 31, 1922

c.) Clovis measures its height h of the rocket above the sloping ground while it is going up. Give a function x = g(h) relating the x-coordinate of the rocket to h.

The maximum I get for the rocket is (31, 1922)

I am pretty sure it is right because the answer in the back of the book is 31 - 1/2 sqrt3844 - 2h

so the 31 is probably correct!

I just need the answer to C (obviously), I'd really appreciate it if you could guide me through it rather than just answers.

Please no use of Calculus terms, I am in Precalc.