JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

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Analyzing +4 | -1

The function

f: \mathrm{N} \rightarrow \mathrm{N}

defined by

\mathrm{f}(\mathrm{x})=\mathrm{x}-5\left[\frac{\mathrm{x}}{5}\right]

, where

\mathrm{N}

is set of natural numbers and

[x]

denotes the greatest integer less than or equal to

x

, is :

View answer and explanation

Correct option: D

neither one-one nor onto.

Option D (neither one-one nor onto) is correct because the function does not satisfy the conditions for being one-to-one or onto.

More Questions from FUNCTIONS

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

f(x)=x(4-x)

f^{-1}(x)

g(f(x))=|\sin x|

f(g(x))=(\sin \sqrt{x})^2

f:\left( {2,\;3} \right) \to \left( {0,\;1} \right)

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

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

f: R \rightarrow R

f(x)=x^4

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

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