The cost of producing q articles is given by the function C=f(q)=100+2q.

Question

(A) Find the formula for the inverse function.
(B) Explain in practical terms what the inverse function tells you.

I am pretty sure the answer to A is f^-1(C)=C/2-50

For B, the inverse of the function is the interchange of the dependent and indepent variable.

Answer 1

C = 100 + 2q
q = (100-C)/2 = 50 - C/2
The inverse function is
f^-1 (C) = 50 - (C/2)

f^-1 is the function that gives you the number of items you can produce when you input the price, C