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Question

The domain of f(x) is [0,1], then the domain of y=f(ex)+f(|[x]|) is
(where [.] denotes greatest integer function)

A
(e,1)
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B
[1,0]
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C
(,2)
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D
[1,0][0,1]
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Solution

The correct option is B [1,0]
For domain of y
0ex1 and 0|[x]|1
<x01[x]1
<x01x<2
So, the intersection is 1x0

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