document.write( "Question 1043750: if f(x)=(x-1)/(x+1),then f^-1 (1/t)=? \n" ); document.write( "
Algebra.Com's Answer #658906 by stanbon(75887)\"\" \"About 
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if f(x)=(x-1)/(x+1),then f^-1 (1/t)=?
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\n" ); document.write( "1st:: Interchange x and y to get:
\n" ); document.write( "x = (y-1)/(y+1)
\n" ); document.write( "2nd: Solve for \"y\"::
\n" ); document.write( "xy+x = y-1
\n" ); document.write( "xy-y = -(x+1)
\n" ); document.write( "y(x-1) = -(x+1)
\n" ); document.write( "y = -(x+1)/(x-1)
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\n" ); document.write( "Then::
\n" ); document.write( "f^-1(1/t) = -(1/t + 1)/(1/t -1)
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\n" ); document.write( "f^-1(1/t) = -(1+t)/t / (1-t)/t
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\n" ); document.write( "f^-1(1/t) = -(1+t)/(1-t)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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