Income Taxes The function
$$
T(g)=1815+0.15(g-18,150)
$$
represents the 2014 federal income tax $T$ (in dollars) due for a "married filing jointly" filer whose modified adjusted gross income is $g$ dollars, where $18,150 \leq g \leq 73,800$.
(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?