3. Suppose that a 1000 kg car is traveling at 18 m/s. Its brakes can apply a force of 4000 N. What is the minimum distance required for the car to stop? (Hint: first find acceleration and then use kinematic equation to find the displacement.) 4. Find the time required for the car in question-3 to stop.

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 .

i do.

explanation:

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