Example #2 A plane that is moving 200 m/s drops a package. The package
takes 15 seconds to reach the ground.
A) What height was the package dropped from?
B) How far did the plane travel from the time the package was
released until the package hit the ground? Is this the same distance
the package travels?
C) How fast was the package moving when it hit the
ground?

the device is called “ rocket engine”

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .