The radius of earth is 6.37×10^6m. the average Earth-Sun distance is 1.496×10^11m how many earths would fit between earth and the sun if they are separated by their average distance? Use the order of magnitude to calculation to estimate this number. Then, determine an exact answer and express it in scientific notation with the correct number of significant digits

kepler used the data from tycho blahe (his mentor) to construct the laws of planetary motion.

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 .