document.write( "Question 164402: If f(x)=2x+3 and g(x)=x^2-2x+3, determine (GoF). \n" ); document.write( "
Algebra.Com's Answer #121162 by jim_thompson5910(35256)\"\" \"About 
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Remember GoF is shorthand notation for g(f(x))\r
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\n" ); document.write( "\n" ); document.write( "\"g%28x%29=x%5E2-2x%2B3\" Start with the given function\r
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\n" ); document.write( "\n" ); document.write( "\"g%28f%28x%29%29=%282x%2B3%29%5E2-2%282x%2B3%29%2B3\" Plug in \"f%28x%29=2x%2B3\"\r
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\n" ); document.write( "\n" ); document.write( "\"g%28f%28x%29%29=%284x%5E2%2B12x%2B9%29-2%282x%2B3%29%2B3\" FOIL\r
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\n" ); document.write( "\n" ); document.write( "\"g%28f%28x%29%29=4x%5E2%2B12x%2B9-4x-6%2B3\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"g%28f%28x%29%29=4x%5E2%2B8x%2B6\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So GoF is \"g%28f%28x%29%29=4x%5E2%2B8x%2B6\"
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