With fuel prices for combustible engine automobiles increasing, researchers and manufacturers have given more attention to the concept of an ultralight

car. Using carbon composites, lighter steels and plastics, a fuel-efficient car

can be manufactured at 540 kg. How much less does an ultralight car weigh

compared to a 1450-kg Honda Accord (2007)?

An ultralight car weighs less than Honda at 940kg or about 63% less

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 .