SOLUTION: if f(x)=(x-1)/(x+1),then f^-1 (1/t)=?

Question 1043750: if f(x)=(x-1)/(x+1),then f^-1 (1/t)=?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
if f(x)=(x-1)/(x+1),then f^-1 (1/t)=?
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1st:: Interchange x and y to get:
x = (y-1)/(y+1)
2nd: Solve for "y"::
xy+x = y-1
xy-y = -(x+1)
y(x-1) = -(x+1)
y = -(x+1)/(x-1)
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Then::
f^-1(1/t) = -(1/t + 1)/(1/t -1)
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f^-1(1/t) = -(1+t)/t / (1-t)/t
----
f^-1(1/t) = -(1+t)/(1-t)
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Cheers,
Stan H.
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