SOLUTION: Construct and Simplify the difference quotient {{{ (f(x+h)-f(x))/h }}} for the function given by: {{{ f(x)=2x^2-x }}} I am really having trouble with this type of problem

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Question 287735: Construct and Simplify the difference quotient
for the function given by:
I am really having trouble with this type of problem
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
Construct and Simplify the difference quotient
for the function given by:
I am really having trouble with this type of problem.

Let's do it piece by piece. 



Let's first find  using



In place of those red 's, let's put 



Simplify the right side:







Replace the  in



by 



Next we need to replace replace the  in 



by what we are given for , namely 



Now we simplify:





Cancel the  and the 





Cancel the  and the 





Factor  out of the numerator:



Cancel the 's





That's it!

Edwin
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