SOLUTION: For the function f(x)=2x-3 Find and simplify {{{ (f(x+h)-f(x))/h}}}

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Question 623147: For the function f(x)=2x-3
Find and simplify
+%28f%28x%2Bh%29-f%28x%29%29%2Fh
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
Replace x in the function with x+h for the first term, then just x (so it's the same function) and divide the whole thing by h.


f(x+h) = 2(x+h)-3 and f(x) = 2x-3. The numerator is:


2(x+h)-3-(2x-3) = 2x + 2h -3 -2x +3 = 2h.


The whole fraction is then 2h/h = 2.

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