document.write( "Question 618682: what is the answer for this solution... given g(x)=x²-16 find g(2x²); g(x²-3); g(x+h); g(x)+g(x); g(x+h)-g(x)? \n" ); document.write( "
Algebra.Com's Answer #389026 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "g(x) = x² - 16 find \r\n" );
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document.write( "g(2x²); \r\n" );
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document.write( "Start with \r\n" );
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document.write( "g(x) = x² - 16\r\n" );
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document.write( "Take out all the x's:\r\n" );
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document.write( "g( ) =  ² - 16\r\n" );
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document.write( "Put (2x²) where the x's were:\r\n" );
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document.write( "g(2x²) = (2x²)² - 16\r\n" );
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document.write( "Simplify the right side:\r\n" );
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document.write( "g(2x²) = 22x4 - 16 \r\n" );
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document.write( "g(2x²) = 4x4 - 16 \r\n" );
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document.write( "--------------------------------------------\r\n" );
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document.write( "g(x²-3)\r\n" );
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document.write( "Start with \r\n" );
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document.write( "g(x) = x² - 16\r\n" );
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document.write( "Take out all the x's:\r\n" );
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document.write( "g( ) =  ² - 16\r\n" );
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document.write( "Put (x²-3) where the x's were:\r\n" );
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document.write( "g(x²-3) = (x²-3)² - 16\r\n" );
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document.write( "Simplify the right side:\r\n" );
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document.write( "g(x²-3) = (x²-3)(x²-3) - 16\r\n" );
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document.write( "g(x²-3) = x4 - 6x² + 9 - 16\r\n" );
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document.write( "g(x²-3) = x4 - 6x² - 7\r\n" );
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document.write( "g(x+h); \r\n" );
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document.write( "Start with \r\n" );
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document.write( "g(x) = x² - 16\r\n" );
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document.write( "Take out all the x's:\r\n" );
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document.write( "g( ) =  ² - 16\r\n" );
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document.write( "Put (x+h) where the x's were:\r\n" );
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document.write( "g(x+h) = (x+h)² - 16\r\n" );
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document.write( "Simplify the right side:\r\n" );
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document.write( "g(x+h) = (x+h)(x+h) - 16\r\n" );
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document.write( "g(x+h) = x² + 2hx + h² - 16\r\n" );
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document.write( "g(x)+g(x); \r\n" );
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document.write( "Add the equation g(x) = x² - 16 to itself:\r\n" );
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document.write( "            g(x) =  x² - 16\r\n" );
document.write( "            g(x) =  x² - 16\r\n" );
document.write( "            --------------\r\n" );
document.write( "       g(x)+g(x) = 2x² - 32\r\n" );
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document.write( "g(x+h)-g(x)\r\n" );
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document.write( "Write down the g(x+h) equation from above and the original\r\n" );
document.write( "equation for g(x) under it, lining up the like terms:\r\n" );
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document.write( "          g(x+h) = x² + 2hx + h² - 16\r\n" );
document.write( "            g(x) = x²            - 16\r\n" );
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document.write( "Now we multiply the second equation by -1, and add the two\r\n" );
document.write( "term by terms:\r\n" );
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document.write( "          g(x+h) =  x² + 2hx + h² - 16\r\n" );
document.write( "           -g(x) = -x²            + 16\r\n" );
document.write( "       --------------------------------\r\n" );
document.write( "     g(x+h)-g(x) =       2hx + h²\r\n" );
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document.write( "Edwin
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