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Find the domain of the function $f (x) = \sqrt{\frac{1}{| x - 2 | - (x - 2)}}$

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−∞,2

-∞,-2

−∞,2

−∞,-2

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detailed solution

Correct option is A

|x−2|=x−2,x≥22−x,x<2⇒ |x−2|−(x−2)=0, x≥24−2x, x<2⇒ given expression is defined for (−∞,2)

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Find the domain of the function f(x)=1|x−2|−(x−2)

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Find the domain of the function $f (x) = \sqrt{\frac{1}{| x - 2 | - (x - 2)}}$