Question

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

Answer 1

Answer:

final answer is 6

Step-by-step explanation:

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

To find the difference quotient use formula

$\frac{f(x+h)-f(x)}{h}$

$f(x)=6x-2$

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

Now plug it in the formula

$\frac{f(x+h)-f(x)}{h}$

$\frac{6x+6h-2-(6x-2)}{h}$

$\frac{6x+6h-2-6x+2)}{h}$

$\frac{6h}{h}$

6