document.write( "Question 653072: If f(x) = x^2 - 6x find:\r
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Algebra.Com's Answer #408234 by jim_thompson5910(35256)\"\" \"About 
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f(x) = x^2 - 6x\r
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\n" ); document.write( "\n" ); document.write( "f(a) = a^2 - 6a\r
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\n" ); document.write( "\n" ); document.write( "f(x) = x^2 - 6x\r
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\n" ); document.write( "\n" ); document.write( "f(a+1) = (a+1)^2 - 6(a+1)\r
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\n" ); document.write( "\n" ); document.write( "f(a+1) = (a+1)(a+1) - 6(a+1)\r
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\n" ); document.write( "\n" ); document.write( "f(a+1) = a^2 + 2a + 1 - 6a - 6\r
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\n" ); document.write( "\n" ); document.write( "f(a+1) = a^2 - 4a - 5\r
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\n" ); document.write( "\n" ); document.write( "f(a+1) - f(a)\r
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\n" ); document.write( "\n" ); document.write( "a^2 - 4a - 5 - (a^2 - 6a)\r
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\n" ); document.write( "\n" ); document.write( "a^2 - 4a - 5 - a^2 + 6a\r
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\n" ); document.write( "\n" ); document.write( "2a - 5\r
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\n" ); document.write( "\n" ); document.write( "So f(a+1) - f(a) = 2a - 5
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