SOLUTION: Find and simplify the difference quotient {{{(f(x+h)-f(x))/h}}} f(x)={{{1/x}}}

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Question 28511: Find and simplify the difference quotient %28f%28x%2Bh%29-f%28x%29%29%2Fh
f(x)=1%2Fx
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
F(X)=1/X
F(X+H)=1/(X+H)
F(X+H)- F(X) = 1/(X+H) - 1/X= {X-X-H}/{X*(X+H)}=-H/{X(X+H)}
{F(X+H)- F(X)}/H = -H/{HX(X+H)}=-1/{X(X+H)}