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

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03-11-2022
Mathematics

Answered

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

Sagot :

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KoalB458586 KoalB458586 · Answer 1 · 2022-11-03T02:28:13-04:00

Answer:

[tex]\frac{f(x+h)-f(x)}{h}=4[/tex]

Step-by-step explanation:

Given the function, solve for the difference quotient:

[tex]f(x)=4x+6[/tex]

Therefore,

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

Sagot :

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