find the domian of the function:::

f (x) =

  [ log _0.3 (x² – 1) / x² – 3x + 2 ]^1/2

^{i m stuck while finding out the comon domian after drawing  the number line...............}

^{plz guys give me a detailed answer}

tell me if its right...i'll post a detailed answer!!!

x>2

My answer tellme if it is correct.

that is what my answer means dear......x belongs to a set of values from 2 to infinity.....i.e x>2 is the right ans most probably....

i donno the answer yet ..................

but plzz give me a logical solution.............

hurry up guys its urgent..............

[log{(x^2-1)/(x^2-3x+2)}]^1/2

(take base as 0.3..i not writing it)

so v have [log{ (x-1)(x+1)/(x-1)(x-2)}]^0.5

cancel x-1 in num n denom...note tht x cannot be 1..ie x-1 cannot be 0..

so v have x+1/x-2 inside the log

now the log has to return a positve value cuz then only u can apply the sq root to it

as base is <1 the num inside the log also has to be <1 so tht overall log value is +ve

so x+1/x-2<1  => 3/x-2 <0 => x<2 (but x not =1)

also x+1/x-2 >0(as inside log num shud be positive)

so from this u get x>2 or x<-1 but from 1st statement v got x<2

so answer is x<-1 or x belongs to (-infinity,-1)

the mistake made in previous posts is tht they have failed to take into consideration tht the base(log base) is <1

cheers

the input of log must be (o , 1) as it is under sqr root and base is <1 so 

wats the right answer???