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a
1.(-3,-1)∪(1,∞)
b
2.[-3,-1)∪[1,∞)
c
3.(-3,-2)∪(-2,-1)∪(1,∞)
d
4. none of these
answer is C.
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Detailed Solution
Given f(x)=log x+3(x2-1)f(x) is to be defined, when x2-1>0,3+x>0 and 3+x≠1i.e x2>1,x>-3 and x≠-2i.e x< -1 or x>1,x>-3 and x≠-2∴Domain =(-3,-2)∪(-2,-1)∪(1,∞)