Let C=f(q)=450+0.2q give the cost in dollars to manufacture q kg of a chemical.

a) Which of the following statement(s) correctly explain the meaning of f^(−1)(C)
b)Find a formula for f^(−1)(C)=

2 answers

the inverse will be kg of q/dollarcost

1/f(q)=1/(450+.2q)
no, that is the reciprocal. The inverse function is

f^-1(C) = (C-450)/.2 = 5C - 2250

That is the number of kg of q it takes to cost C dollars.