A0.21-kg stone is held 1.5 m above the top edge of a water well and then dropped into it. the well has a depth of 4.9 m. (a) relative to the configuration with the stone at the top edge of the well, what is the gravitational potential energy of the stone−earth system before the stone is released? j

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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 .