An airline finds that if it prices a cross-country ticket at $300, it will sell 400 tickets per day. It estimates that each $10
price reduction will result in 50 more tickets sold per day. Find the ticket price (and the number of tickets sold) that will maximize the airline's revenue.
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The inverse function of the above function is f(x) =
You can find the inverse of any function by switching the f(x) and x terms. Once you have done that, solve for the new f(x). Finally, what you'll have remaining is the inverse function. The work is done for you below:
f(x) = ----> Switch the x and f(x)
x = ---> square both sides
= 2f(x) + 2 ---> subtract 2 from both sides
- 2 = 2f(x) ----> divide both sides by 2
= f(x) ----> switch the order for formatting sake.
f(x) =