Question

the domain of 2/x+1 -3

Answer 1

is that (2/x)+1-3, or is that (2/x+1)-3?

Answer 2

(2/x+1) -3

Answer 3

k. so set it equal to 0. You get (2/x+1)-3=0, move three to the other side, and get (2/x+1)=3. Then cross multiply and you get 2=3(x+1). Foil it out. You get 2=3x+3. Solves for -1/3=x. Does that make sense?

Answer 4

yeah got it so the domain is -1/3

Answer 5

ooohhh. No its not. my bad
ok so

Answer 6

(2/x+1)-3. Ok, what number can you NOT divide by in math?

Answer 7

-3

Answer 8

You CANT divide by 0 because it doesnt work. So set the denominator in 2/(x+1), which is x+1, equal to 0. So you get x+1=0. Move 1 to the other side and you get x=-1. So the domain of the function is from

Answer 9

its -1 ?

Answer 10

-infinity to -1, -1 to +infinity

Answer 11

Yes its -1

Answer 12

because the denominator in your question is x+1. 3 is not a part of it

Answer 13

and if you want that domain in range notation, its -infinity<-1<+infinity i believe

Answer 14

Does that make sense?

Answer 15

so the domain for (-3/x+4 )+2 is -2 ?

Answer 16

yes it does

Answer 17

if you have x+4 as your denominator, set that equal to zero. what do you get?

Answer 18

and no its not. The domain can be everything BUT what makes the domain 0. So if it cant be -1, domain is everything else from -infinity to +infinity

Answer 19

If you want, I can do a more in depth answer so I explain everything. Would you prefer that?

Answer 20

its actually x-4

Answer 21

Ok. So what is domain? Domain is values of x.
Its easier to find everything that x CANT be.
In the case of the equation you have, you are dividing by x.
In math, you cant divide by 0, so you set x-4=0.
Move that over, you have x=4, so the domain is everything BUT that, from -inifnity to 4, and from 4 to +infinity.

Answer 22

ok got it

Answer 23

Kk! Glad I could help! Sorry if I was a bit muddled at the beginning.

Answer 24

now the range (2-x-3 )-5

Answer 25

okay. well I assume that (-2-x-3)-5 is equal to y, so you have (-2-x-3)-5=y, so you can have y be anything from negative to positive infinity. can you see why?

Answer 26

2/x-3) -5 actually sorry

Answer 27

kk. what do YOU think it is?

Answer 28

-infinity 3 to + infinity 3

Answer 29

remove that last 3 and you have it correct

Answer 30

(1/x+1 ) -4
+infinity 1 to - infinity

Answer 31

i think?

Answer 32

-1 :)

Answer 33

-1 where?

Answer 34

because x+1=0, x=-1 if you rearrange

Answer 35

-1 in your domain

Answer 36

+infinity -1 to - infinity ?

Answer 37

yup