1. Two students have volunteered to explore the galaxy in a spaceship. As they travel through space, they measure the
magnitude of the gravitational force between their
spaceship and the Earth. They find that the gravitational
force on the spaceship is —
A. proportional to the distance from the Earth
B. inversely proportional to the distance from the Earth
C. proportional to the square of the distance from the Earth
D. inversely proportional to the square of the distance from
the Earth

a longitudinal wave moves energy that is to the direction of the wave’s movement. - true

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 .