Question: The function T(g) = 4675 + 0.25(g - 33,950) represents the 2009 federal income tax T (in dollars) due for a single filer whose modified

The function T(g) = 4675 + 0.25(g - 33,950) represents the 2009 federal income tax T (in dollars) due for a "single" filer whose modified adjusted gross income is g dollars, where 33,950 ≤ g ≤ 82,250.

(a) What is the domain of the function T?

(b) Given that the tax due T is an increasing linear function of modified adjusted gross income g, find the range of the function T.

(c) Find adjusted gross income g as a function of federal income tax T. What are the domain and the range of this function?

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