document.write( "Question 957445: If f(x)=(x-1)/(x+1), evaluate f^-1((1/c)+1).
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document.write( "hopefully you'll understand that, thank you for your time \n" );
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Algebra.Com's Answer #585063 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! If f(x)=(x-1)/(x+1), evaluate f^-1((1/c)+1 \n" ); document.write( "----- \n" ); document.write( "1st: Find f^-1(x)::: \n" ); document.write( "y = (x-1)/(x+1) \n" ); document.write( "Interchange x and y to get: \n" ); document.write( "x = (y-1)/(y+1) \n" ); document.write( "Solve for y:: \n" ); document.write( "y-1 = x(y+1) \n" ); document.write( "y-xy = x+1 \n" ); document.write( "y(1-x) = x+1 \n" ); document.write( "--- \n" ); document.write( "f^-1(x) = (x+1)/(1-x) \n" ); document.write( "------- \n" ); document.write( "NOw, find f^-1[(1/c)+1)] \n" ); document.write( "---- \n" ); document.write( "f^-1[(1/c)+1)] = [(1/c)+2][-1/c] \n" ); document.write( "----- \n" ); document.write( "= (-1/c^2) -(2/c) \n" ); document.write( "----------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============== \n" ); document.write( " |