SOLUTION: Please help me with the problem below : Let c(x) = (4/(x+2)) - 2, find c^-1(x)

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Question 948659: Please help me with the problem below :
Let c(x) = (4/(x+2)) - 2, find c^-1(x)

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Naming the inverse instead as d(x), and meaning c%5E-1%28x%29=d%28x%29, your inverse would be in the equation, x=4%2F%28d%28x%29%2B2%29-2. Solve this for d(x).

x%2B2=4%2F%28d%28x%29-2%29

1%2F%28x%2B2%29=%28d%28x%29-2%29%2F4

4%2F%28x%2B2%29=d%28x%29-2

4%2F%28x%2B2%29%2B2=d%28x%29

highlight%28d%28x%29=4%2F%28x%2B2%29%2B2%29