The inverse notation f−1 used in a pure mathematics problem is not always used when finding inverses of applied problems

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The Inverse Notation F 1 Used In A Pure Mathematics Problem Is Not Always Used When Finding Inverses Of Applied Problems 1 (25.11 KiB) Viewed 43 times

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=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 adfusted gross income is g dollars, where 30,8005 g≤74,400. T(g)=4220+0.25(9−30,800) (a) What is the domain of the function T? The domain of the function T is {9}sg s (b) Gven 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 T is (T) S T S (0) Find adjusted gross income g as a function of income tax T. What ave the domah and the fange of this functon? g(T)= The comain of o(T) is (T) STS The range of gT) is {gl sgs