A2.2 × 103
kg car accelerates from rest under
the action of two forces. one is a forward
force of 1147 n provided by traction between
the wheels and the road. the other is a 934 n
resistive force due to various frictional forces.
how far must the car travel for its speed to
reach 2.2 m/s?

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 .