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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

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
 

Grade:11

2 Answers

Aditya Gupta
2081 Points
2 years ago
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 :))
Arun
25757 Points
2 years ago
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
 

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