document.write( "Question 898780: Find f(a), f(a+h), and then calculate and simplify (f(a+h)-f(a))/h
\n" ); document.write( "f(x) = 3/x\r
\n" ); document.write( "\n" ); document.write( "I could only get as far as this:
\n" ); document.write( "f(a)=3/a
\n" ); document.write( "f(a+h)=3/a+h
\n" ); document.write( "(3/(a+h)-(3/a))/h
\n" ); document.write( "then I thought that I have to rule out h from the bottom but I could not figure out how to do that...
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Algebra.Com's Answer #544986 by Edwin McCravy(20064)\"\" \"About 
You can put this solution on YOUR website!
\"%22f%28a%29%22\"\"%22%22=%22%22\"\"3%2Fa\"
\n" ); document.write( "\"%22f%28a%2Bh%29%22\"\"%22%22=%22%22\"\"3%2F%28a%2Bh%29\"
\n" ); document.write( "\"%22f%28a%2Bh%29%22-%22f%28a%29%22\"\"%22%22=%22%22\"\"3%2F%28a%2Bh%29-3%2Fa\"
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document.write( "Before you go further and divide by h, get an LCD of a(a+h):\r\n" );
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document.write( "\"%22f%28a%2Bh%29%22-%22f%28a%29%22\"\"%22%22=%22%22\"\"%283a-3%28a%2Bh%29%29%2F%28a%28a%2Bh%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"%22f%28a%2Bh%29%22-%22f%28a%29%22\"\"%22%22=%22%22\"\"%283a-3%28a%2Bh%29%29%2F%28a%28a%2Bh%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"%22f%28a%2Bh%29%22-%22f%28a%29%22\"\"%22%22=%22%22\"\"%283a-3a-3h%29%2F%28a%28a%2Bh%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"%22f%28a%2Bh%29%22-%22f%28a%29%22\"\"%22%22=%22%22\"\"%28-3h%29%2F%28a%28a%2Bh%29%29\"\r\n" );
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document.write( "Now divide the left side by h and multiply the right side by \"1%2Fh\",\r\n" );
document.write( "which is really doing the same thing to both sides:\r\n" );
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document.write( "\"%28%22f%28a%2Bh%29%22-%22f%28a%29%22%29%2Fh\"\"%22%22=%22%22\"\"expr%28%28-3h%29%2F%28a%28a%2Bh%29%29%29%2Aexpr%281%2Fh%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"%28%22f%28a%2Bh%29%22-%22f%28a%29%22%29%2Fh\"\"%22%22=%22%22\"\"expr%28%28-3cross%28h%29%29%2F%28a%28a%2Bh%29%29%29%2Aexpr%281%2Fcross%28h%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"%28%22f%28a%2Bh%29%22-%22f%28a%29%22%29%2Fh\"\"%22%22=%22%22\"\"-3%2F%28a%28a%2Bh%29%29\"\r\n" );
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document.write( "Edwin
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