document.write( "Question 1138461: Let f(x) = (x^2 + 3x + 1), g(x) = (3x + 1) and h(x) = 3x + (2/x). Find (fogoh)(x) \n" ); document.write( "
Algebra.Com's Answer #756295 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "given:
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\n" ); document.write( "\"f%28x%29+=+%28x%5E2+%2B+3x+%2B+1%29\",
\n" ); document.write( "\"g%28x%29+=+%283x+%2B+1%29\" and
\n" ); document.write( "\"h%28x%29+=+3x+%2B+%282%2Fx%29\"\r
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\n" ); document.write( "\n" ); document.write( "Find \r
\n" ); document.write( "\n" ); document.write( "(\"f\"o\"g\"o\"h\")(\"x\")\r
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\n" ); document.write( "\n" ); document.write( "(\"f\"o\"g\"o\"h\")(\"x\")=\"f%28g%28h%28x%29%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "first find \"g%28h%28x%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"g%28h%28x%29%29=g%283x+%2B+%282%2Fx%29%29\"
\n" ); document.write( "\"g%28h%28x%29%29=3%283x+%2B+%282%2Fx%29%29+%2B+1%29\"
\n" ); document.write( "\"g%28h%28x%29%29=9x+%2B+6%2Fx+%2B+1\"\r
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\n" ); document.write( "\n" ); document.write( "now find\r
\n" ); document.write( "\n" ); document.write( "\"f%289x+%2B+6%2Fx+%2B+1%29=%289x+%2B+6%2Fx+%2B+1%29%5E2+%2B+3%289x+%2B+6%2Fx+%2B+1%29+%2B+1\"\r
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\n" ); document.write( "\n" ); document.write( "\"f%289x+%2B+6%2Fx+%2B+1%29=%2881+x%5E4+%2B+45+x%5E3+%2B+113+x%5E2+%2B+30x+%2B+36%29%2Fx%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"f%289x+%2B+6%2Fx+%2B+1%29=81+x%5E2+%2B+%2830x+%2B+36%29%2Fx%5E2+%2B+45x+%2B+113\"\r
\n" ); document.write( "\n" ); document.write( "\"f%289x+%2B+6%2Fx+%2B+1%29=81+x%5E2+%2B+6%285x+%2B+6%29%2Fx%5E2+%2B+45x+%2B+113\"\r
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\n" ); document.write( "\n" ); document.write( "=>\"f%28g%28h%28x%29%29%29=81+x%5E2+%2B+6%285x+%2B+6%29%2Fx%5E2+%2B+45x+%2B+113\"\r
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