Question

I dont understand what the H is. The screenshot is below! @zelda @satellite73

Answer 1

you don't have to know what h is
you don't know what x is either and you aren't asking about it....

just replace x in f(x)=6-x with (x+h)

Answer 2

Literally, put in a x+h, for every time you see an x.

Answer 3

so it would become f(x+h)=6-x+h?

Answer 4

close but not exactly
you have to subtract the whole new x...
f(x+h)=6-(x+h)

Answer 5

distribute now

Answer 6

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

Answer 7

right

Answer 8

Now you can use that for part b. So subtract f(x) from it. Then for part c, divide out the h.

Answer 9

so then in f(x+h)-f(x) i would make it f(x+h)-f(x+h)?

Answer 10

no
remember f(x+h)=6-x-h
and f(x)=6-x

just replace f(x+h) with 6-x-h and replace f(x) with 6-x in
the expression f(x+h)-f(x)

Answer 11

make sure you put parenthesis around the part that is f(x)

Answer 12

how do we know f(x)=6-x? how did we remove the h from both sides for f(x+h)=6-x-h?

Answer 13

f(x)=6-x was given

Answer 14

Derp! I completely forgot!

ok so 6-x-h-(6-x)

Answer 15

your problem says
"Using the function, f(x)=6-x, find the following"

Answer 16

yes

Answer 17

therefore 6-x-g-6+x

Answer 18

so g?

Answer 19

well you changed h to g :p

Answer 20

but i think you mean -h

Answer 21

whoops!

Answer 22

so its -h!

Answer 23

But yes, simplify that

Answer 24

right 6-x-h-6+x
is -h not h because there is a minus sign in front of h
good job

Answer 25

so its just like replacing the numbers, but with letters?

Answer 26

i think so :p

Answer 27

Pretty much! So what do you get when you simplify what you just wrote?

Answer 28

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

6-x-h-(6-x)/h

Answer 29

and you already did that fraction's numerator

Answer 30

the answer to f(x+h)-f(x) was -h

Answer 31

Yes, so it becomes -h/h and that is~?

Answer 32

umm... -1?

Answer 33

Yup! :)

Answer 34

So you just finished a,b and c.

Answer 35

ah they took -h lol

6-x-h-6+x/h

Answer 36

h/h=-1

Answer 37

What you just did was find the slope of the linear function f(x)=6-x

Answer 38

gotchha! you meant for c! not for b! im derping! whoops!

Answer 39

you will see this expression a lot more in calculus to find "slopes" of more crazier functions

Answer 40

thanks for the help all! expect more! :P