JEE MATHEMATICS MCQ: FUNCTIONS

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Analyzing +4 | -1

f(x)=[x]

and

g(x)=x-[x]

, then which of the following is the zero function?

View answer and explanation

Correct option: D

(f \circ g)(x)

Option D (

(f \circ g)(x)

) is the zero function because

g(x)

always returns a value between 0 and 1, and

f(x)

(the floor function) of that value is always 0.

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