The inverse notation f^-1 used in a pure mathematics problem is not always used when finding inverses of applied problems. Rather, the universe of a function such as C = C (q) will be q=q (C). The following problem illustrates this idea.
In a certain country the following function represents the income tax T (in dollars) do for a person who is adjusted gross income is G dollars where 30,500? g? 74,100.
T (g) = 4250+0.25 (g-30,500)
A.) what is the domain of the function T?
B.). Given that the income tax do T is an increase in linear function of adjusted gross income G find the range of the function T
C.) find adjusted gross income G as a function of income tax T. what are the domain and the range of this function?
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