document.write( "Question 505347: Express H(x) = g(f(x)), when f ( x ) = 4x-5 and g(x) = 2x^2 - x \n" ); document.write( "
Algebra.Com's Answer #339864 by Edwin McCravy(20059)\"\" \"About 
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document.write( "H(x) = g(f(x))\r\n" );
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document.write( "Replace the f(x) in g(f(x)) by 4x-5, since we are given that f(x) = 4x-5,\r\n" );
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document.write( "H(x) = g(f(x)) = g(4x-5)\r\n" );
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document.write( "Now we need to find g(4x-5)\r\n" );
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document.write( "To do that, take out the x's in\r\n" );
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document.write( "   g(x) = 2x² - x \r\n" );
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document.write( "and replace them by empty parentheses (    ):\r\n" );
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document.write( "g(    ) = 2(    )² - (    )\r\n" );
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document.write( "Next fill in the empty parentheses with 4x-5\r\n" );
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document.write( "g(4x-5) = 2(4x-5)² - (4x-5)\r\n" );
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document.write( "So we have\r\n" );
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document.write( "H(x) = g(f(x)) = g(4x-5) = 2(4x-5)² - (4x-5)\r\n" );
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document.write( "Now simplify the right side as 32x² - 84x + 55\r\n" );
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document.write( "Answer: H(x) = 32x² - 84x + 55\r\n" );
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document.write( "Edwin

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