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August 3rd, 2016, 09:59 AM  #1 
Member Joined: Jul 2016 From: Usa Posts: 59 Thanks: 3  How to simplify this?
This is the problem ((1/x+h1)(1/x1))/h. 
August 3rd, 2016, 10:12 AM  #2 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,657 Thanks: 2635 Math Focus: Mainly analysis and algebra 
${{1 \over x+h1}{1 \over x1} \over h}$? You should make sure that you use parenthesis properly in writing out your problems. I would start by performing the subtraction in the numerator. What have you tried? How far did you get? 
August 3rd, 2016, 10:40 AM  #3  
Member Joined: Jul 2016 From: Usa Posts: 59 Thanks: 3  Quote:
I got to (x1)(x+h1)/(x+h1)(x1) as the numerator.  
August 3rd, 2016, 11:11 AM  #4  
Senior Member Joined: May 2016 From: USA Posts: 1,310 Thanks: 551  Quote:
Assuming the latter $f(x + h) = \dfrac{1}{x + h  1}.$ So $f(x + h)  f(x) = \dfrac{1}{x + h  1}  \dfrac{1}{x  1} = \dfrac{(x  1)  (x + h  1)}{(x + h  1)(x  1)} = \dfrac{\ h}{(x + h  1)(x  1)}.$ Now what? Last edited by JeffM1; August 3rd, 2016 at 11:13 AM.  
August 3rd, 2016, 11:34 AM  #5 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,657 Thanks: 2635 Math Focus: Mainly analysis and algebra  
August 3rd, 2016, 11:51 AM  #6 
Member Joined: Jul 2016 From: Usa Posts: 59 Thanks: 3  
August 3rd, 2016, 12:24 PM  #7 
Senior Member Joined: May 2016 From: USA Posts: 1,310 Thanks: 551  

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