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Question:

The domain of the definition of the function f(x) = 1/(4 - x^2) + log(x^3 - x) is

(-1,0)∪(1,2)∪(3,∞)

(-1,0)∪(1,2)∪(2,∞)

(-2,-1)∪(-1,0)∪(2,∞)

(1,2)∪(2,∞)

Solution:

Correct option is B (-1,0)∪(1,2)∪(2,∞)
4-x²≠0; x³-x>0
x=±2; x(x-1)(x+1)>0
∴Df∈(-1,0)∪(1,2)∪(2,∞)