How is an electromagnet different from a permanent magnet

An electromagnet shows both electric as well as magnetic property, and the materials comprising this type of property is mainly made up of a coil of insulated wire that is tied around a magnetic. When the current is allowed to pass through it, then it behaves as a magnet.

On the other hand, permanent magnet refers to those substances that are comprised of magnetized materials, and due to this, they have the ability to create a magnetic field of their own. These magnetic property shown by these substances are permanent and it remains for a long time.

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 .