The Kapandu boys dormitory in the UPNG is going up in flames. Rachel, a former student of Physics, who is now a fire fighter, is part of the team who have rushed onto the scene to try to contain the blaze. As she holds the fire hose, she experiences a force exerted on her by the hose. Provided the diameter of the fire hose is 7.0 cm, and the water running through the hose flows at 420 L/min, how much force does she need to hold the nozzle, if its diameter is 0.75 cm?

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dang that balls went far

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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 .