PLEASE HELP ME WITH THIS ONE QUESTION A converging lens has a focal length of 40 cm. If an object is placed 50 cm in front of the image, where will the image be formed?

the image will be real and inverted

the correct answer is b

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 .