[tex]f(x)=8x-11[/tex]
find:
[tex]\frac{f(x+h)-f(x)}{h}[/tex]
find f(x+h)
[tex]\begin{gathered} f(x+h)=8(x+h)-11 \\ f(x+h)=8x+8h-11 \end{gathered}[/tex]
replace in the quotient
[tex]\frac{(8x+8h-11)-(8x-11)}{h}[/tex]
simplify,
[tex]\begin{gathered} \frac{8h}{h} \\ 8 \end{gathered}[/tex]
answer:
[tex]\frac{f(x+h)-f(x)}{h}=8[/tex]
