A typical human eye is nearly spherical, and is usually about 2.5 cm in diameter. Suppose a person first looks at a coin that is 2.1 cm in diameter and located 31.0 cm from her eye. Then, she looks up at a friend who is 1.8 m tall and 3.75 m away. Find the magnitude of the approximate size of each image (coin ℎI, coin and friend ℎI, friend ) on her retina. (Hint: Just consider rays from the top and bottom of the object that pass through the center of the lens.)

wavelength divides in half and speed stays the same.

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 .