Mathematics
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OpenStudy (anonymous):
X+1/x-2 how to find the range of it?
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OpenStudy (er.mohd.amir):
range means value of function when put the different value of x
OpenStudy (priyar):
what is 3/0? @Zaada ?
OpenStudy (anonymous):
No defined :)
OpenStudy (priyar):
good..its not defined..So the denominator can never be zero..right?
OpenStudy (priyar):
then what value should x not take..so that x-2 is not equal to 0
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OpenStudy (anonymous):
2
OpenStudy (priyar):
great job!
OpenStudy (anonymous):
But, is not that how we find the domain of the function?
OpenStudy (priyar):
yes u r clear with that?
OpenStudy (anonymous):
Yeap!
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OpenStudy (priyar):
to find the range(proper way) take this expression equal to some 'y' and rearrange the new eq to remove the denominator..ok?
OpenStudy (anonymous):
So, smth like this? : 2(x-2)=x-1 and solve for x?
OpenStudy (priyar):
how did u het this? where is 'y'?
OpenStudy (priyar):
*get
OpenStudy (priyar):
its more like..
\[y=\frac{ x+1 }{ x-2 }\] ok? now multiply with (x-2) on both sides
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OpenStudy (priyar):
@Zaada ??
OpenStudy (anonymous):
oh, sorry. I was away for a min. So yes, I did multiply by (x-2) substituting y by 2.
OpenStudy (priyar):
hey..where is y? i don't see any 'y' on the left side..
OpenStudy (anonymous):
\[y(x-2)=x+1\] What do I do now?
OpenStudy (anonymous):
I see, so all real # except 1? @priyar
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OpenStudy (priyar):
now multiply y inside..
OpenStudy (priyar):
and write in this form:x=..
OpenStudy (anonymous):
x=2y+1/y-1