Question: The function T(g) = 1670 + 0.15(g - 16,700) represents the 2009 federal income tax T (in dollars) due for a married filing jointly filer

The function T(g) = 1670 + 0.15(g - 16,700) represents the 2009 federal income tax T (in dollars) due for a "married filing jointly" filer whose modified adjusted gross income is g dollars, where 16,700 ≤ g ≤ 67,900.

(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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