SOLUTION: If f(x)=(x-1)/(x+1), evaluate f^-1((1/c)+1). hopefully you'll understand that, thank you for your time

Algebra ->  Functions -> SOLUTION: If f(x)=(x-1)/(x+1), evaluate f^-1((1/c)+1). hopefully you'll understand that, thank you for your time      Log On


   

Question 957445: If f(x)=(x-1)/(x+1), evaluate f^-1((1/c)+1).
hopefully you'll understand that, thank you for your time
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If f(x)=(x-1)/(x+1), evaluate f^-1((1/c)+1
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1st: Find f^-1(x):::
y = (x-1)/(x+1)
Interchange x and y to get:
x = (y-1)/(y+1)
Solve for y::
y-1 = x(y+1)
y-xy = x+1
y(1-x) = x+1
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f^-1(x) = (x+1)/(1-x)
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NOw, find f^-1[(1/c)+1)]
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f^-1[(1/c)+1)] = [(1/c)+2][-1/c]
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= (-1/c^2) -(2/c)
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Cheers,
Stan H.
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