Let f ( x ) = [ x ] = the greatest integer less than or equal to x and g ( x ) = x – [ x…

Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions

1. f (x + y) = f (x) + f (y)
2. g(x + y) = g(x) + g(y)
3. f (x + y) = f (x) + f (y + g(x))
4. none of these

Answer

(C) f ( x + y) = f ( x ) + f (y + g ( x ))

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