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The domain of definition of the function f(x)=sqrt(x2-[x2]) where [.] represents greatest integer function

The domain of definition of the function


f(x)=sqrt(x2-[x2])


where [.] represents greatest integer function

Grade:11

2 Answers

Siddhant Somani
29 Points
9 years ago

i got it..

it is very simple

Swapnil Saxena
102 Points
9 years ago

For Sqrt to exist , x2-[x2] > or equal to  0,

For this purpose, x2>[x2] or x2=[x2]

Let x^2 be t where t can take values from 0 - infinity

Then t>[t] or t=[t]

This is possible for all t belonging to positive no. as greatest integer function always return value  equal to or less tha the no.

Hence this function is defined from -infinity to + infinity   

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