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.

The ideal body weight W for men (in kilograms) as a function of height h (m inches) is given by the following function.

W(h)= 49+2.2(h-60)

Required:
a. What is the ideal weight of a 6-foot male?
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.