document.write( "Question 484794: If f(x)=-3x+2,what are the values of m and b so that f(mx+b)=2x-3? \n" ); document.write( "
Algebra.Com's Answer #331643 by Edwin McCravy(20056)\"\" \"About 
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If f(x)=-3x+2,what are the values of m and b so that f(mx+b)=2x-3?
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document.write( "f(x) = -3x + 2\r\n" );
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document.write( "Repace x by mx+b\r\n" );
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document.write( "f(mx+b) = -3(mx+b) + 2\r\n" );
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document.write( "f(mx+b) = -3mx - 3b + 2\r\n" );
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document.write( "We are told that\r\n" );
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document.write( "f(mx+b) = 2x - 3\r\n" );
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document.write( "So\r\n" );
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document.write( "-3mx - 3b + 2 = 2x - 3  for all values of x\r\n" );
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document.write( "Therefore we set the coefficients of x equal:\r\n" );
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document.write( "          -3m = 2\r\n" );
document.write( "            m = \"-2%2F3\"\r\n" );
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document.write( "And we set the constants equal:\r\n" );
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document.write( "      -3b + 2 = -3\r\n" );
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document.write( "          -3b = -5\r\n" );
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document.write( "            b = \"%28-5%29%2F%28-3%29\"\r\n" );
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document.write( "            b = \"5%2F3\"        \r\n" );
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document.write( "Edwin
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