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$The domain of f (x) = \frac{1}{\sqrt{(x - 1) (x - 2) (1 - 2 x)}} is$

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a

(−∞,12)∪(1,2)

b

1,2

c

(−1,∞)

d

R−1,2

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detailed solution

Correct option is A

The domian of the funciton is the set of all real numbers for which x-1x-22x-1>0The graph of above function intersect x - axis at x=1, 2, 12Use the sign changes on the number line, we can decide where the function is positve Hence, the domain is -∞,12∪1.2

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