SOLUTION: Can someone help me with this problem and show me step by step please? The directions are Find a formula for the inverse of the function described below. An organization determines

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Can someone help me with this problem and show me step by step please? The directions are Find a formula for the inverse of the function described below. An organization determines      Log On


   

Question 1006068: Can someone help me with this problem and show me step by step please? The directions are Find a formula for the inverse of the function described below. An organization determines that the cost per person of chartering a bus is given by the formula C(x)=250+4x/x where x is the number of people in the group and C(x)is in dollars.So find the inverse of the function C(x)=250+4x/x.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Not as you wrote since that would be useless having x%2Fx, but as you must have been given, C%28x%29=%28250%2B4x%29%2Fx. You want to find inverse of C(x).

Let I(x) be the inverse of C(x).
C%28I%28x%29%29=%28250%2B4%28I%28x%29%29%29%2FI%28x%29=x

250%2B4I%28x%29=x%2AI%28x%29

x%2AI%28x%29-4%2AI%28x%29=250

%28x-4%29I%28x%29=250

highlight%28I%28x%29=250%2F%28x-4%29%29


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You originally show 250+4x/x in pure text, which correctly rendered is 250%2B4x%2Fx simplifiable to 250%2B4%2A1=254, and is not what you really want. THAT shows a useless as well as wrong factor of x%2Fx.