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Find the details of the function [x] +[-x] 

 

  • Option 1)

    For x\epsilon Z; f(x)= 0

  • Option 2)

    For x\cent Z; f(x)= 0

  • Option 3)

    x\epsilon Z; f(x)= 0

  • Option 4)

    for x \cent Z; f(x) = 1

 

Answers (1)

best_answer

As we have learned

Greatest Integer Function -

\left [ x \right ]= Greatest integer less than or equal to x

\left ( for\: x\: \in\: R \right )

- wherein

Range = Integers

 

 

 If x\epsilon Z i.e x=Z

[Z]=Z ..and .. [-Z]= Z

thus f(x) = -Z+Z=0

 

 

 


Option 1)

For x\epsilon Z; f(x)= 0

Option 2)

For x\cent Z; f(x)= 0

Option 3)

x\epsilon Z; f(x)= 0

Option 4)

for x \cent Z; f(x) = 1

Posted by

Himanshu

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