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Hello! I need some assistance with this homework question, pleaseQ6

Hello! I need some assistance with this homework question, pleaseQ6-example-1
User DannyK
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1 Answer

4 votes

Answer:


(f(x+h)-f(x))/(h)=4

Explanation:

Given the function, solve for the difference quotient:


f(x)=4x+6

Therefore,


\begin{gathered} (f(x+h)-f(x))/(h)=(4(x+h)+6-4x+6)/(h) \\ (4(x+h)+6-4x+6)/(h)=(4x+4h+6-4x-6)/(h)=(4h)/(h)=4 \\ \text{Then, the difference quotient of the function:} \\ f(x)=4x+6;(f(x+h)-f(x))/(h)=4 \end{gathered}

User Linktoahref
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