Question

Domain of..sqrt{||x-1|-5|-2} ?

Answer 1

@wio

Answer 2

\[
\bigg||x-1|-5\bigg|-2 > 0
\]

Answer 3

Correct,Next?

Answer 4

\[\sqrt{||x-1|-5|-2}\] better...

Answer 5

Add 2 to both sides. Where areyou getting stuck?

Answer 6

I don't know how to deal with mod functions while solving for domain.

Answer 7

where is the mod though?

Answer 8

mod/absolute bars

Answer 9

\[\Huge \sqrt{||x-1|-5|-2}\]

Answer 10

so when you say 'mod' you mean the absolute value function?

Answer 11

Yes

Answer 12

\[
|f(x)| < a\implies -a<f(x)<a\\
|f(x)| > a\implies a<f(x),\quad f(x)<-a\\

\]

Answer 13

\[
\bigg||x-1|-5\bigg| >2 \implies |x-1|-5 < -2\quad\quad |x-1|-5 >2
\]

Answer 14

The equations will keep splitting up and you'll have to keep track of all of them.

Answer 15

okay,ill try and let you know!

Answer 16

|x-1|<3
|x-1|>7

Answer 17

x-1<3
x-1<-3

x-1>7
x-1>-7
?

Answer 18

x<4
x<-2
x>8
x>-6
?

Answer 19

x-1 > -3 *

Answer 20

samajh aaya kyun?

Answer 21

hmm..yeah kinda

Answer 22

x-1< -7 **
okay?

Answer 23

|x-1|<3
|x-1|>7

x-1<3
x-1>-3

x-1>7
x-1<-7

Answer 24

x<4
x>-2

x>8
x<-6

Answer 25

yup. thats right i guess.