SOLUTION: If f(x) = (4x-1)/ (4x+2) determine a formula for f^-1(x)

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Question 922307: If f(x) = (4x-1)/ (4x+2) determine a formula for f^-1(x)
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Try exchanging the roles of x and y=f^-1*(x).

%284%2Ay-1%29%2F%284%2Ay%2B2%29=x

4y-1=x%284y%2B2%29
4y-1=4xy%2B2x
4y-1-4xy=2x
4y-4xy-1=2x
4y-4xy=2x%2B1
%284-4x%29y=2x%2B1
highlight%28y=%282x%2B1%29%2F%284-4x%29=f%5E-1%28x%29%29