Posted by **Gabriel** on Sunday, February 10, 2013 at 9:43pm.

Suppose daily operating profit, in dollars, for a movie theater is a function of the number of tickets sold with the rule P(x)=8.5x-2,500, for 0≤x≤1,000.

a) Explain why the profit function has an inverse

b) P(400)=900. Rewrite this equation in terms of P^-1.

c) Verify that P^-1(4470)=820 and describe what this equation means in this context.

d) Find a rule for P^-1(x) and then verify the P^-1(P(450))=450

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