1. The diameter of the spool on a fisherman's reel is 6 cm when it is fully wrapped with fishing line. After casting his lure 16 meters away into the
water, there is enough line left on the spool such that the spool has a
diameter of 4 cm. The fisherman then reels in the line, turning the bail (the
metal part that wraps the fishing line around the spool) at a constant speed
of 16 rad/s. How long does it take him to reel in the fishing line?

4cm -443

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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 .