# snip Transcribed Image Text: In applications, the symbols used for the independent and dependent variables are often based on common usage

snip Transcribed Image Text: In applications, the symbols used for the independent and dependent variables are often based on common usage. So, rather than using

y = f(x) to represent a function, an applied problem might use C = C(q) to represent the cost C of manufacturing q units of a good since,

in economics, q is used for output. Because of this, the inverse notation f used in a pure mathematics problem is not used when finding

inverses of applied problems. Rather, the inverse of a function such as C = C(q) will be q = q(C). So C = C(g) is a function that

represents the cost C as a function of the output q, while q = q(C) is a function that represents the output q as a function of the cost C. Transcribed Image Text: Ideal Body Weight One model for the ideal body weight W

for men (in kilograms) as a function of height h (in inches) is

given by the function

W(h) = 50 + 2.3(h – 60)

(a) What is the ideal weight of a 6-foot male?

(b) Express the height h as a function of weight W.

(c) Verify that h = h(W) is the inverse of W = W(h) by

showing that h(W(h)) = h and W(h(W)) = W.

(d) What is the height of a male who is at his ideal weight of

80 kilograms?

[Note: The ideal body weight W for women (in kilograms)

as a function of height h (in inches) is given by W(h) =

45.5 + 2.3(h – 60).]

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