Question

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

Answer 1

`(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}`