Question

The inverse notation f-1 used in a pure mathematics problem is not always used when finding inverses of applied problems. Rather, the inverse of a function such as C=C(q) will be q=(C). The following problem illustrates this idea. In a certain country, the following function represents the income tax T (in dollars) due for a person whose adjusted gross income is g dollars, where 30,800 sg $74,400 T(9) = 4220 +0.25(9-30,800) (a) What is the domain of the function T? The domain of the function is {gl 30800 sgs 74400) (b) Given that the income tax due T is an increasing linear function of adjusted gross income g, find the range of the function T The range of the function is {TI 4220 STS (c) Find adjusted gross income g as a function of income tax T. What are the domain and the range of this function? g(t)=0 The domain of g(T) is {Tists. The range of g(T) is {gl sgs}

Answer 1