document.write( "Question 901885: DIFFERENCE OF QUOTIENT:
\n" ); document.write( "Find f(a), f(a + h),and the difference quotient \r
\n" ); document.write( "\n" ); document.write( "f(a + h) − f(a) /h,where h ≠ 0.\r
\n" ); document.write( "\n" ); document.write( "f(x) = 5/(x + 4)\r
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\n" ); document.write( "(f(a + h) − f(a))/h= \r
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\n" ); document.write( "\n" ); document.write( "PLEASE EXPLAIN HOW THESE TYPE OF PROBLEMS ARE SOLVED\r
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Algebra.Com's Answer #547015 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
[f(a+h)-f(a)]/h,where h ≠ 0.
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document.write( "The best way to do the difference quotient is to do it in steps.\r\n" );
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document.write( "If it contains no square roots of variables:\r\n" );
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document.write( "1. Find f(a+h) and simplify if possible.\r\n" );
document.write( "2. Find f(a+h)-f(a) and simplify if possible. Every term that \r\n" );
document.write( "   contains no h should cancel.  Factor out h if necessary.  \r\n" );
document.write( "3. Find [f(a+h)-f(a)]/h and cancel the h factor. If step 2 is \r\n" );
document.write( "   a fraction, change division by h to multiplication by \"1%2Fh\".   \r\n" );
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document.write( "[If it contains a square root, multiply and divide by the conjugate first. You don't have that here]\r\n" );
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document.write( "\"%22f%28x%29%22+=+5%2F%28x+%2B+4%29\"\r\n" );
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document.write( "1.  \"%22f%28a%2Bh%29%22+=+5%2F%28%28a%2Bh%29+%2B+4%29\"\r\n" );
document.write( "    \"%22f%28a%2Bh%29%22+=+5%2F%28a%2Bh+%2B+4%29\"\r\n" );
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document.write( "2.  \"%22f%28a%2Bh%29%22+-%22f%28a%29%22=+5%2F%28a%2Bh+%2B+4%29-5%2F%28a%2B4%29\"\r\n" );
document.write( "    Get LCD of (a+h+4)(a+4)\r\n" );
document.write( "     \r\n" );
document.write( "    \"%22f%28a%2Bh%29%22+-%22f%28a%29%22=+%285%28a%2B4%29-5%28a%2Bh%2B4%29%29%2F%28LCD%29\"\r\n" );
document.write( "    \"%22f%28a%2Bh%29%22+-%22f%28a%29%22=+%285a%2B20-5a-5h-20%29%2F%28LCD%29\"\r\n" );
document.write( "    \"%22f%28a%2Bh%29%22+-%22f%28a%29%22=+%28-5h%29%2F%28LCD%29\"\r\n" );
document.write( "    \"%22f%28a%2Bh%29%22+-%22f%28a%29%22=+%28-5h%29%2F%28%28a%2B4%29%28a%2Bh%2B4%29%29\"    \r\n" );
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document.write( "3.  \r\n" );
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document.write( "Edwin
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