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Grade: 11
        
The Domain Of The Function f(x) = sq.rt x-[x] ( [.] denotes the greatest integer function) is:
a) R
b) R+
c) R+ U {0}
d) Z
 
2 months ago

Answers : (2)

Aditya Gupta
2014 Points
							
You have not written the question clearly. I assume the fn is sqrt(x - [x]).
Obviously, [x] is the greatest integer less than or equal to x.
Hence [x] is less than or equal to x for all x
Or x-[x] is greater than or equal to zero for all x
Hence, domain of fn is R, option A.
KINDLY APPROVE :))
2 months ago
Arun
24494 Points
							
Dear student
 
f(x) = sqrt (x – [x])
 
for domain we know that x – [x] >= 0
 
x > = [x]
 
as it is always true hence domain is x belongs to R
 
2 months ago
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