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Q.

Given f(x)=1|x|−x and g(x)=1x−|x| then

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a

dom⁡f≠ϕ and dom g=ϕ

b

dom⁡f=ϕand dom g≠ϕ

c

f and g have the same domain

d

dom f=ϕ and dom g=ϕ

answer is A.

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Detailed Solution

dom⁡f={x:|x|>x} and dom g={x:x>|x|}= ϕ. Thus dom f=R− (the set of all negative real numbers)and dom g = ϕ.

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