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Grade: 12th pass

                        

the domain of f(x) = (x 2 -[x] 2 ) 1/2 ,where [ ]denotes greatest integer function less than or equal to x.

2 years ago

Answers : (1)

Saurabh Koranglekar
askIITians Faculty
8407 Points
							Dear student

The simplification of a^2 -b^2 = (a+b)(a-b)

f(x) = ( ( x+ [x] ) *( {x}) ^0.5

Fractional part is positive

Now choose x and (x +[x]) is positive

Regards
6 months ago
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