Mccarthy Fowler

10/30/2023 · Middle School

The inverse notation \( f^{-1} \) used in a pure mathematics problem is not always used when finding inverses of applied \( p \) following problem illustrates this idea. The ideal body weight \( W \) for men (in kilograms) as a function of height \( h \) (in inches) is given by the following function \( \mathrm{W}(\mathrm{h})=51+2.2(\mathrm{~h}-60 \) ) (a) What is the ideal weight of a 6-foot male? The ideal weight, \( W \), of a 6 -foot male is 77.4 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 \( h(W(h))=h \). \( h(W)=\square \) (Use integers or decimals for any nunters in the expression. Round to the nearest tenth as needed.)