2) A certain race track is four and a half kilometers long. The winning driver in the race drove his car around the track TWICE in three minutes. What was his average speed over those two laps? Please answer in kilometers
per hour.

the independent variable, or the one that is intentionally manipulated is the speed.

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 .

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