Ball 1, with a mass of 100 g and traveling horizontally at 10 m/s, collides head on with ball 2, which has a mass of 300 g and is initially at rest. What is the final velocity of each ball if… A. The collision is perfectly inelastic. B. The collision is perfectly elastic. C. The collision is inelastic but not perfectly inelastic (find one possible solution).

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 .