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)
B
[1,0]
C
(,2)
D
[1,0][0,1]

Solution

## The correct option is B [−1,0]For domain of y 0≤ex≤1 and 0≤|[x]|≤1 −∞<x≤0∩−1≤[x]≤1 −∞<x≤0∩−1≤x<2 So, the intersection is −1≤x≤0

Suggest corrections