The inverse notation f ^ - 1 in a pure mathematics problem is not always used when finding inverses of applied problemsRather, the inverse of a function such as C = C(q) will be q = q(C) The following problem illustrates this idea Taking into account reaction time, the distance d (in feet) that a car requires to come to a complete stop while traveling r miles per hour is given by the following function d(r) = 6.96r - 90.34 ( a) Express the speed rat which the car is traveling as a function of the distance d required to come to a complete stop Verify your answer by checking that r(d(r)) = r and tilde d (r(d))=d

The inverse notation f 1 in a pure mathematics problem is not always used when finding inverses of applied problemsRather the inverse of a function such as C Cq class=