An athlete executing a long jump leaves the ground at angle of 30.0° and travels 7.80 m. a. What is the takeoff speed?
b. If the takeoff speed was increased by 5.0%, how much longer would the jump be?​

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 .