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Find domain of the function 1/(x+|x|)
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\[\frac{ 1 }{ x+|x|}\]
the only problem would be when x+|x| = 0 this is true for all x <= 0 so what is the domain?
@Palmo4ka ?
\[(-\infty;+\infty)\] if \[x \neq-1\] ?
@zzr0ck3r
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do you not see me typing?
x cant be 0, or negative. put in any negative number or 0 and you get 1/0
no
1/(-7+|-7|) = 1/0
(0,inf)
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not 0 either
as 1/(0+|0|) = 1/0
( means not included , [ means included
all values except x = -1
? @zzr0ck3r
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From 0 to positive infinity, 0 is NOT included
yes word, sorry its late
okay, i understood, thank you
d := {x|x>0}
Help me with else one question, plz \[y=\frac{ 1 }{ x-|x| }\] The domain is \[ (-\infty ; 0)\] ?
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yes
dont use (a;b) use (a,b)
ok! Thanks!
np
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