The graph shows calculations for potassium-argon dating.

Which statement explains what geologists can learn from the graph?

They can estimate that all the potassium will have decayed within 6.5 billion years.
They can tell that 1/8 of the argon gas will be left after 3.9 billion years.
They can determine that a rock is 1.3 billion years old if 1/2 of the potassium has decayed.
They can see that potassium’s half-life varies from every 1.3 billion years to every 5.2 billion years.

THE ANSWER IS C

e/c, where e is its total energy

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 .