Question

How is this result formed?

g(x)=8x-3 I have the answer key showing
it setup as
g(x+h)-g(x) 8x+8h-3-(8x-3)
---------- --------------
h h

Answer 1

That's the difference quotient of g(x)

Answer 2

i think i see now. let me see if i can explain how im figuring this out without making it more confusing. the 8x+8h-3 is result of plugging in (x+h) in the x spot for 8 -3 and the (8x-3) is there because it is the value of g(x). Am i close or getting even further away from the correct way of doing this problem.

Answer 3

Yes that's correct.

Answer 4

Phew thank god. I have to have this and more down solid for my final on monday. Thanks for your help

Answer 5

g(x+h)-g(x)
----------=
h

8(x+h)-3-(8x-3)
--------------
h

8x+8h-3-8x+3
-------------
h

Answer 6

8h
-- answ.
h