You are in an ambulance moving at 75 km/h. If your siren is blaring at 450 Hz and the air temperature is 0.0 °C, what frequency would a pedestrian on the side of the road hear as you are moving away?

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 .