Find the domain

f(x)=√(x-1)/x-2{x}
Please post ur solutions
My ans (-∞,∞)-{0}
answer given :(-∞,0)union(0,1]union[2,∞)

3 Answers

1
The Enlightened One - jsg ·

@Kalyan..

-the denominator will be = 0 when x =0 only

- here (x-1)/(2[x]-x) >= 0...

so either x>=1 AND [x] >= x/2....[always true]

OR

x<=1 AND [x]<=x/2..[true when x<0 ]

So i feel it is (-∞,0) U [1,∞]

1
The Enlightened One - jsg ·

can Kalyan tell me whether I 'm wrong / right ??

6
Kalyan IIT-K Beware I'm coming ·

wel @jsgenius
i dnt kno d answer ...dis is a sum given by one of my frnds
from arihant
d answer given there was more weird one........

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