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Question

The domain of the function 1x|x| is

A
ϕ
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B
(,0)
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C
(0,)
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D
R{0}
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Solution

The correct option is A ϕ
Let f(x)=1x|x|
For f to be defined,
x|x|>0

When x<0, we get
x(x)>02x>0x>0
Which is not possible.

When x0, we get
xx>00>0
Which is not possible.
D(f)=ϕ

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