Question

In Exercises 27–28, find and simplify the difference quotient f(x + h) - f(x) hFor the given function: f(x)=8x-11

Answer 1

`f(x)=8x-11`

find:

`(f(x+h)-f(x))/(h)`

find f(x+h)

`\begin{gathered} f(x+h)=8(x+h)-11 \\ f(x+h)=8x+8h-11 \end{gathered}`

replace in the quotient

`((8x+8h-11)-(8x-11))/(h)`

simplify,

`\begin{gathered} (8h)/(h) \\ 8 \end{gathered}`

answer:

`(f(x+h)-f(x))/(h)=8`