A lunar exploration module has a mass of 5000kg. It lands on the surface of the Moon, where the acceleration due to gravity is 1.6 m/s^2. The actual thrust of the rocket engine is 14000N.

What is the resultant force on the rocket?

What is the initial acceleration of the module?

gas and liquid

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 .