Question

restriction of (x^2+3x+2)/(x^2-2x-3) * (x^2+4x+3)/(x+2)

Answer 1

x ≠ -3

x ≠ 3

x ≠ 1

x ≠ -2

I'm getting different results so I'm lost.. I'm getting a result of x plus or minus -1, -2 and 3

Answer 2

\(\left(\dfrac{x^2 + 3x + 2}{x^2 - 2x - 3}\right) \left(\dfrac{x^2 + 4x + 3}{x + 2}\right)\)

Answer 3

Yes....

Answer 4

Now...without doing any work at all, what can x not equal?

Answer 5

We know that \(x + 2 \ne 0\) right?

Answer 6

mhm

Answer 7

So what can x not equal?

Answer 8

I understand the extra help but I just need to know which of my results are correct... I'm getting two that match my answer choices but I can only click one

Answer 9

It's not giving a direct answer imo since I've done the work already

Answer 10

that's what I have marked, thanks.

Answer 11

Nah, I said only I can pick one

Answer 12

Well, factors of one can cancel...so maybe we should try to factor this one.

Answer 13

Huh...? I said I can only pick one answer which is -2 o.o

Answer 14

\(\left(\dfrac{(x+2)(x+1)}{(x-3)(x+1)}\right) \left(\dfrac{(x+3)(x+1)}{x + 2}\right)\)

Yes, I know, however, if factors can cancel, then we'll be able to reduce it to just one answer choice.

Answer 15

\(\left(\dfrac{\cancel{(x+2)}\cancel{(x+1)}}{(x-3)\cancel{(x+1)}}\right) \left(\dfrac{(x+3)(x+1)}{\cancel{x + 2}}\right)\)

Answer 16

Now we're left with just:

\(\dfrac{(x+3)(x+1)}{x-3}\)

Answer 17

So \(x - 3 \ne 0\) and \(x \ne 3\)

Answer 18

Well... How did I get -1 then? o_o
does that mean it's changed to 3 and not -2?

Answer 19

Since factors of one cancel, we can reduce the fraction to a simplified form and find what x definitely cannot equal.

Answer 20

so.. x cannot equal -2 and 3? it looks that way due to how you wrote it
(I have another question like this)

Answer 21

Sorry, but if we can cancel factors, then they are no longer restrictions. \(x \ne 3\) is the correct choice.

Answer 22

I suppose that makes sense :O the other one is (5x^2-10x-15)/(x^2-9) divided by (6x+12)/(x+2)
I've gotten multiple results as well.
choices are: x ≠ -2

x ≠ -3

x ≠ 3

x ≠ 9

Answer 23

is it B, -3?

Answer 24

You basically do the same thing as before which is reduce it to simplest form first, then figure out the restriction.

Answer 25

@whalexnuker show your work

Answer 26

I see you typing- I got it, thanks ;o

Answer 27

What do you mean, you got it? What work did you do to get it?

Answer 28

I got the answer.. I submitted the test and got full credit o.o that's why the question was closed earlier. I just haven't strayed from the question, lol