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Q.

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

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a

−∞,2

b

-∞,-2

c

−∞,2

d

−∞,-2

answer is A.

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Detailed Solution

|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)