Question

fine the difference quotient f(3+h)-f(3) and simplify if f(x) is x^2-2x+9

Answer 1

divided by h

Answer 2

did you find \(f(3)\) ? you need that first

Answer 3

no im having dificulties

Answer 4

it is a direct computation
if you cannot find it, the other part will make less than no sense to you

Answer 5

do you just plug 3 into x^2-2x+9?

Answer 6

Yep

Answer 7

\[f(x) = x^2-2x+9\\
f(\clubsuit)=\clubsuit^2-2\clubsuit +9\\
f(3)=3^2-2\times 3+9\]\]

Answer 8

let me know when you get \(12\)

Answer 9

ok

Answer 10

next you need to do something harder
find \(f(3+h)\)

Answer 11

ok i got 12

Answer 12

\[f(\clubsuit)=\clubsuit^2-2\clubsuit +9\\\] where you see a \(\clubsuit\) replace it by \(3+h\)

Answer 13

ok

Answer 14

let me know what you get

Answer 15

im not sure if its right i got h^2+4h+12

Answer 16

think so, let me check

Answer 17

yup

Answer 18

ok now subtract
\[f(3+h)-f(3)=h^2+4x+12-12=?\]

Answer 19

Good^_^

Answer 20

ok

Answer 21

i got h^2+4h

Answer 22

ok good
last step
divide both terms by \(h\)

Answer 23

h+4 :D?

Answer 24

do you always find f(whatever number) and then the rest

Answer 25

yes you are done

Answer 26

thank you

Answer 27

yw
hope it was more or less clear