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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.

  • math -

    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

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