Three identical (massless) springs are hung from the ceiling. Spring 1: Nothing hung from spring. The spring's bottom is 0.1 m below the ceiling. Spring 2: A 7 N object is hung from the spring. The spring's bottom is 0.7 m below the ceiling. Spring 3: An object of unknown weight is hung from the spring. The spring's bottom is 0.8 m below the ceiling. a.) Find the spring constant that each spring has.

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 .