4 A sunglass manufacturer finds that consumer demand of a ce

4. A sunglass manufacturer finds that consumer demand of a certain line of sunglasses varies b based on price. Market studies predict the relationship is approximated by the function p r where q represents the quantity of sunglasses sold in thousands and p represents the price in dollars Sketch a graph of the inverse function. Find and interpret the real-life meaning of the following function p- fe) graphed below a f(30) b, f-1(30) $s0 $40 $20 $10 0 10 20 30 40 s Quantity Sold (thous ands of sunglas ses)

Solution

frm graph we observe

f(30) =   40

f^(-1) (30) = 35   becuase f(35) = 30

                                            F^(-1)(f(35)) = f^(-1)(30)

                                           35 = f^(-1)(30)