Suppose we have a cylinder A and a cylinder B of the same material, but of different dimensions, with cylinder A being of greater dimension than cylinder B. If we calculate the density of cylinder A on the ground and then determine the density of cylinder B in Moon. How is the density of cylinder A relative to the density of cylinder B and justify your answer?

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 .