The algebra of functions - Difference quotient

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ypoyhfg

Mathematics

Description

can you help me to find the difference quotient for this problem?

f(x) = 1/3x

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Explanation & Answer

Thank you for the opportunity to help you with your question!

The difference quotient is : 

l =(f(x+h)-f(x))/h  

f(x+h) =  1/3(x+h)

f(x+h) - f(x) = 1/3(x+h) - 1/3x  = 1/3x + 1/3h - 1/3x  = 1/3h

so : 

l =  (1/3h)/h = 1/3 


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Anonymous
Just the thing I needed, saved me a lot of time.

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