Question

Simplify the difference quotient f ( x + h ) â f ( x ) h for the function f ( x ) = 6 x â x 2

Answer 1

final answer is 6

Explanation:

Given
`f(x)=6x-2`

To find the difference quotient use formula

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

`f(x)=6x-2`

`f(x+h)=6(x+h)-2=6x+6h-2`

Now plug it in the formula

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

`(6x+6h-2-(6x-2))/(h)`

`(6x+6h-2-6x+2))/(h)`

`(6h)/(h)`

6