The inverse notation f 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(g) will be q= q(C). The following problem illustrates this idea. The ideal body weight W for men (in kilograms) as function of height h (in inches) is given by the following function. W(h) = 49 +2.3(h - 59) (a) What the ideal weight of a 6-foot male? The ideal weight, W, of a 6-foot male is kilograms. (Round to the nearest tenth as needed.) (b) Express the height h as a function of weight W. Verify your answer by checking that W(h(W)) = W and h(W(h)) =h. h(W) =D (Use integers or decimals for any numbers in the expression. Round to the nearest tenth as needed.) (c) What is the height of a male who is at his ideal weight of 80 kilograms? The height of a male who is at his ideal weight of 80 kilograms is approximately inches. (Round to the nearest whole number as needed.)

The inverse notation f 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(g) will be q= q(C). The following problem illustrates this idea. The ideal body weight W for men (in kilograms) as function of height h (in inches) is given by the following function. W(h) = 49 +2.3(h - 59) (a) What the ideal weight of a 6-foot male? The ideal weight, W, of a 6-foot male is kilograms. (Round to the nearest tenth as needed.) (b) Express the height h as a function of weight W. Verify your answer by checking that W(h(W)) = W and h(W(h)) =h. h(W) =D (Use integers or decimals for any numbers in the expression. Round to the nearest tenth as needed.) (c) What is the height of a male who is at his ideal weight of 80 kilograms? The height of a male who is at his ideal weight of 80 kilograms is approximately inches. (Round to the nearest whole number as needed.)

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.7: Inverse Functions

Problem 45SE: To convert from x degrees Celsius toy degrees Fahrenheit, we use the formula f(x)=95x+32 . Find the...

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