A1.55m tall fisherman stands at the edge of a lake, being watched by a suspicious trout, which is 3.50 m from the fisherman in the horizontal direction and 45.0 cm below the surface of the water. at what angle from the vertical does the fish sees the top of the fisherman's head? (index of refraction for water is 133. use numerical solution or trial-and-error method).

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 .