Ageologist finds ripples preserved in ancient sedimentary rock that look just like ripples made by water in mud. he concludes that there was once water in that location that created the ripples. why is this conclusion reasonable?

because water and mud behaved in a similar way in the past as they do today (SI)

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 .