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)![]() ![]() ![]() You can put this solution on YOUR website! if f(x)=(x-1)/(x+1),then f^-1 (1/t)=? \n" ); document.write( "-------------- \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) \n" ); document.write( "----- \n" ); document.write( "Then:: \n" ); document.write( "f^-1(1/t) = -(1/t + 1)/(1/t -1) \n" ); document.write( "---- \n" ); document.write( "f^-1(1/t) = -(1+t)/t / (1-t)/t \n" ); document.write( "---- \n" ); document.write( "f^-1(1/t) = -(1+t)/(1-t) \n" ); document.write( "---------------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------- \n" ); document.write( " |