SOLUTION: The question reads: Find and simplify: [f(a+h)-f(a)]/h where f(x)=1/x What I think I'm to do would be to replace "f" with 1/x Thank you for your help with this problem.

SOLUTION: The question reads: Find and simplify: [f(a+h)-f(a)]/h where f(x)=1/x What I think I'm to do would be to replace "f" with 1/x Thank you for your help with this problem.

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Question 134680This question is from textbook College Mathematics
: The question reads:
Find and simplify:
[f(a+h)-f(a)]/h where f(x)=1/x
What I think I'm to do would be to replace "f" with 1/x
Thank you for your help with this problem. This question is from textbook College Mathematics

Answer by rajagopalan(174) (Show Source): You can put this solution on YOUR website!
f(x)=1/x
f(a+h)=1/(a+h)
f(a)=1/a
f(a+h)-f(a)=((1/(a+h))-(1/a)
...........=(a-(a+h))/(a*(a+h))
...........=-h/(a(a+h)
so [f(a+h)-f(a)]/h=-h/(a(a+h) divided by h
=-1/(a(a+h))

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