document.write( "Question 1065645: f(x)=1/(x-4) g(x)=4x+9\r
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Algebra.Com's Answer #680830 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "f∘g(x) is read \"f of (g of x)\".\r\n" );
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document.write( "If means the same as \"f%28%22g%28x%29%22%5E%22%22%29\"\r\n" );
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document.write( "To get it, substitute what g(x) equals, for x in what\r\n" );
document.write( "f(x) equals.  Then simplify.\r\n" );
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document.write( "We start with f(x)\r\n" );
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document.write( "\"f%28x%5E%22%22%29=1%2F%28x-4%29\"\r\n" );
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document.write( "Then we take what g(x) equals, which is (4x+9), and\r\n" );
document.write( "substitute it for x in \"1%2F%28x-4%29\", like this: \"1%2F%28%284x%2B9%29%5E%22%22-4%29\"\r\n" );
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document.write( "So we have:\r\n" );
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document.write( "f∘g(x) = \"f%28%22g%28x%29%22%5E%22%22%29\"\"%22%22=%22%22\"\"%22%22=%22%22\"\"f%284x%2B9%5E%22%22%29\"\"%22%22=%22%22\"\"1%2F%28%284x%2B9%29%5E%22%22-4%29\"\r\n" );
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document.write( "Then we simplify\r\n" );
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document.write( "f∘g(x) = \"1%2F%284x%2B9-4%29\" \r\n" );
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document.write( "f∘g(x) = \"1%2F%284x%2B5%29\"\r\n" );
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document.write( "That's the answer.\r\n" );
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document.write( "To find f∘g(5), we merely substitute 5 for x\r\n" );
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document.write( "f∘g(5) = \"1%2F%284%285%29%2B5%29\" and simplify\r\n" );
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document.write( "f∘g(5) = \"1%2F%2820%2B5%29\"\r\n" );
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document.write( "f∘g(5) = \"1%2F25\"\r\n" );
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document.write( "Be sure to watch this youtube video:\r\n" );
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document.write( "https://www.youtube.com/watch?v=S4AEZElTPDo\r\n" );
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document.write( "Edwin
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