document.write( "Question 1160164: If f(x+y)=f(x)+f(y) and f(1)=17, find f(2), f(3), and f(4). Is f(x+y)=f(x)+f(y) for all functions?\r
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document.write( "f(2)=
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document.write( "f(3)=
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document.write( "f(4)= \n" );
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Algebra.Com's Answer #783350 by ikleyn(52790)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "then f(2) = f(1 + 1) = f(1) + f(1) = 17 + 17 = 34. ANSWER\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " f(3) = f(1 + 2) = f(1) + f(2) = 17 + 34 = 51. ANSWER\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " f(4) = f(2 + 2) = f(2) + f(2) = and you continue from this point.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For the last question, the answer is \"NO\".\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "As an counterexample, consider f(x) = x^2.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "/\/\/\/\/\/\/\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I ask the visitors to post their \"THANKS\" for my responses,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in order for I see that I work for civilized humans . . . \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ". . . and not for idiots . . . \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Otherwise, I will write to your MANAGERS asking them to check you for your professional qualification \n" ); document.write( "to occupy your position in this project . . . \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |