document.write( "Question 1144668: Find f (a), f (a + h), and the difference quotient for the function given below, where h does not equal 0. f(x) = x/(x + 5) \n" ); document.write( "
Algebra.Com's Answer #766108 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"f%28x%29+=+x%2F%28x+%2B+5%29\"\r\n" );
document.write( "\"f%28a%29+=+a%2F%28a+%2B+5%29\"\r\n" );
document.write( "\"f%28a%2Bh%29+=+%28a%2Bh%29%2F%28%28a%2Bh%29+%2B+5%29=%28a%2Bh%29%2F%28a%2Bh%2B5%29\"\r\n" );
document.write( "\"f%28a%2Bh%29-f%28a%29=%28a%2Bh%29%2F%28a%2Bh%2B5%29-a%2F%28a+%2B+5%29\"\r\n" );
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document.write( "Everything in the top cancels except terms that contain h,\r\n" );
document.write( "and some of them may cancel.\r\n" );
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document.write( "\"f%28a%2Bh%29-f%28a%29=%285h%29%2F%28%28a%2B5%29%28a%2Bh%2B5%29%29\"\r\n" );
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document.write( "Now we form the difference quotient by dividing by h on the\r\n" );
document.write( "left, and doing the equivalent multiplication by 1/h on the\r\n" );
document.write( "right. [Dividing by h and multiplying by 1/h are the same.]\r\n" );
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document.write( "The h's cancel on the right and we are left with\r\n" );
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document.write( "Edwin
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