A 12kg cart rolling at 18m/s to the right collides with a 15kg cart that is at rest. After they collide, the 15kg cart is moving to the right with a velocity of 5m/s. What is the
final velocity of the 12kg cart?

i would say the answer is food.

hope this !

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 .