Answer:
final answer is 6
Step-by-step explanation:
Given [tex]f(x)=6x-2[/tex]
To find the difference quotient use formula
[tex]\frac{f(x+h)-f(x)}{h}[/tex]
[tex]f(x)=6x-2[/tex]
[tex]f(x+h)=6(x+h)-2=6x+6h-2[/tex]
Now plug it in the formula
[tex]\frac{f(x+h)-f(x)}{h}[/tex]
[tex]\frac{6x+6h-2-(6x-2)}{h}[/tex]
[tex]\frac{6x+6h-2-6x+2)}{h}[/tex]
[tex]\frac{6h}{h}[/tex]
6
