What did astronomers name the planet they discovered? Why is temperature a good criterion for searching for Earthlike exoplanets?
What is unique about the size and location of this exoplanet?
Kepler-186f is much closer to its sun than Earth is to its sun. Why is it considered to be in the habitable zone even though it’s so close to a sun?\
Our planet has frozen poles. What property does frozen water have that might be useful in searching for other planets with frozen poles?

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 .