Sinusoidal water waves are created 120 km offshore by an earthquake near a small island. observers in helicopters above the island report that the waves have an amplitude of about 2.0 m, a wavelength of 15 m, and a frequency of about 0.5 hz. how long do lifeguards on the mainland have to evacuate beaches before the waves arrive?

compass can be used day and night, cloudy or sunny

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 .