document.write( "Question 225934: Determine if f(x) = (3x + 2) / 5 is one-to-one. If so, find its inverse. \n" ); document.write( "
Algebra.Com's Answer #168387 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Determine if f(x) = (3x + 2) / 5 is one-to-one. If so, find its inverse. \n" ); document.write( ". \n" ); document.write( "Since f(x) = (3x + 2) / 5 is a line -- it is one-to-one. \n" ); document.write( ". \n" ); document.write( "y = (3x + 2) / 5 \n" ); document.write( "Flip x and y: \n" ); document.write( "x = (3y + 2) / 5 \n" ); document.write( "Solve for y: \n" ); document.write( "x = (3y + 2) / 5 \n" ); document.write( "5x = 3y + 2 \n" ); document.write( "5x-2 = 3y \n" ); document.write( "(5x-2)/3 = y \n" ); document.write( ". \n" ); document.write( "Therefore the \"inverse\" of \n" ); document.write( "f(x) = (3x + 2) / 5 \n" ); document.write( "is \n" ); document.write( "f^-1(x) = (5x-2)/3 \n" ); document.write( " \n" ); document.write( " |