standard_description: Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed.
problem_activity: The function,
$$f$$
, defines the cost of supplies for a lemonade stand as a function of the number of cups of lemonade you expect to sell.
$$f(x) = .5x + 10$$
Write
$$f^{-1}$$
algebraically and define the domain and range for both
$$f$$
and
$$f^{-1}$$
in the context of the problem.


aligns: no