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