JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

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Understanding +4 | -1

f:R \to R\;and\,g:R \to R

are defined by

f\left( x \right) = x - \left[ x \right]\;and\;g\left( x \right) = \left[ x \right]

for

x \in R

, where

\left[ x \right]

is the greatest integer not exceeding x, then for every

x \in R,\;f\left( {g\left( x \right)} \right)

is equal to

View answer and explanation

Correct option: B

Option B (0) is correct because

f(g(x)) = f([x]) = [x] - [[x]] = [x] - [x] = 0

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