Two marbles of different masses are released at the top of a ramp and roll down the ramp. The student measures the distance each marble travels. The procedure is repeated three times and the average distance traveled by each marble is calculated. The summarized data are shown in the table.

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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 .

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explanation: