JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Analyzing +4 | -1

Let

f(x)=\frac{x-[x]}{1+x-[x]}

, where

[x]

denotes the greatest integer less than or equal to

x

, then the range of

f

View answer and explanation

Correct option: C

[0,1 / 2)

Option C ([0, 1/2)) is correct because when x is an integer f(x) = 0, and when x is not an integer, 0 <= f(x) < 1/2.

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