Estimate how much mass the sun loses through fusion reactions during its 10-billion-year life. you can simplify the problem by assuming the sun’s energy output remains constant.

kg

Explanation:

The sun's energy output per second is 4.26 million metric tons, this is a constant value.

To solve for the amount of mass the sun loses during its 10 billion year life, multiply the energy output per second by the total time (in seconds) for the 10 billion year period.

CALCULATION

Mass loss = kg

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 .