JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Analyzing +4 | -1

Let

f(x)=[x]^2+[x+1]-3

where

[x]=

the greatest integer function. Then

View answer and explanation

Correct option: D

Both (a) and (b)

Option D (Both (a) and (b)) is correct because the function is many-one and into, and it equals zero for an infinite number of x values.

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f:(-\infty, 2] \longrightarrow(-\infty, 4]

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f\left( x \right) = x - \left[ x \right]

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f(x)=(x+1)^2-1(x \geq-1)

S=\left\{x: f(x)=f^{-1}(x)\right\}