Question

If f(x) = −3x − 3 and g(x) = 2x + 1, find f over g(−2).

−3

3

−1

1

Answer 1

It means to put the equation F over G when x for G equals -2

Answer 2

\[\frac{ -3x-3 }{ 2(-2)+1}\]

Answer 3

so -3times-2

Answer 4

What?

Answer 5

where did you get -3*-2?

Answer 6

beacues u said x for G equals -2

Answer 7

Right so it would be 2(-2)

Answer 8

Well, you start with g(x) = Notice how there's an x in the parenthesis and thus an x in your function, 2x+1. Well, if something else goes in the parenthesis, like -2 g(-2), this means instead of having x's, you need to have -2 where all the x's are. That's why Bama replaced x with -2 in his example.

Answer 9

ok

Answer 10

Mhm, so that's why he wrote theproblem the way he did above. I'm sure he can finish explaining :P

Answer 11

Do you understand where we got the -2 and how we know where to put it?

Answer 12

Thanks Pysmon:)

Answer 13

Of course ^_^

Answer 14

ya

Answer 15

Alright so start by simplifying the equation now...

Answer 16

i got-3

Answer 17

Right! So now the equation looks like\[\frac{ -3x-3 }{ -3}\]

Answer 18

so the final answer is 1

Answer 19

How did you get 1?

Answer 20

-3x3-3=-9/3
ohhh its -3 as the final answer

Answer 21

The final answer when you plug in the original equation should be 0. Your close but thats not it...

Answer 22

how the final answer are -3,3,1,-1,

Answer 23

it has to be one of those

Answer 24

Right and it is, but it isnt 1.

Answer 25

\[\frac{ -3x-3 }{ -3 }=0\]

Answer 26

so -1

Answer 27

YUP:)

Answer 28

Dun dun dun! :D

Answer 29

If f(x) = x − 4 and g(x) = 1 over 2x − 2, find f[g(−6)].

9

3

−9

−3

Answer 30

So as I mentioned before, when something like f(x) changes to f(2), this means that instead of x's in our function, those x's get replaced with 2. Now this is the same thing, but our x's are replaced with g(-6). So it's best if we get an answer for g(-6) first.

So g(x) = 2x+1 and instead of x inside of the parenthesis we have -6. This tells us we want to replace x with -6. So doing that gives us 2(-6) + 1.
So what would that be?

Answer 31

-9

Answer 32

That should give us -11 if we do that part. 2(-6) = -12 then + 1 givws us -11. See how?

Answer 33

GOOD JOB PYSMON:)

Answer 34

so it is -9

Answer 35

My brain must not be working, I don't see the correct answer listed.

Answer 36

\[\frac{ 1 }{ 2(-6)-2}=\frac{ 1 }{ -14}\]

Answer 37

Right. I interpreted the problem that way and:

\[\frac{ 1 }{ 2(-6) }-2 = \frac{ -25 }{ 12 }\]

Answer 38

I still must be doing something incredibly dumb to not be getting the answer to be any of his choices, lol.

Answer 39

This is too confusing. Your friend might have wrote it the wrong way...

Answer 40

I think so, because the answer does not match up with his choices, even if you interpret it in both ways.

Answer 41

Yea...