document.write( "Question 74104: can you help me to explain this equation?\r
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document.write( "If f(x)=x-1/x+1 then f(x)+f(1/x)=\r
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document.write( "this is a homework assignment..but not in our book..thanks \n" );
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Algebra.Com's Answer #53094 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! If f(x)= x-1/x+1 then f(x)+ f(1/x) = \n" ); document.write( ": \n" ); document.write( "Deal with f(1/x) first, substitute (1/x) for x in f(x) = x - (1/x) + 1: \n" ); document.write( ": \n" ); document.write( "f(1/x) = (1/x) - 1/(1/x) + 1 \n" ); document.write( ": \n" ); document.write( "1/(1/x) is equal to x so you have: \n" ); document.write( "f(1/x) = (1/x) - x + 1 \n" ); document.write( ": \n" ); document.write( "It wants f(x) + f(1/x); we just found f(1/x) and f(x) was given originally \n" ); document.write( "so we have \n" ); document.write( "(x - (1/x) + 1) + ((1/x) - x + 1) = \n" ); document.write( ": \n" ); document.write( "Combine like terms \n" ); document.write( "x - x - (1/x) + (1/x) + 1 + 1 = 2 is the solution \n" ); document.write( ": \n" ); document.write( "Did this help? \n" ); document.write( " |