New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Functions question

2024 · 27 Jan · Shift 1 · Q50

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Functions
2024 · 27 Jan · Shift 1 · Q50

Functions question

2024 · 27 Jan · Shift 1 · Q50

JEE MainMathematicsFunctionsMCQ+4 / −1

The function

f: \mathbf{N}-\{1\} \rightarrow \mathbf{N}

; defined by

f(\mathrm{n})=

the highest prime factor of

\mathrm{n}

, is :

A
one-one only
B
neither one-one nor onto
C
onto only
D
both one-one and onto

More from Functions

Let $f : R - {\frac{- 1}{2}} \to R$ and $g : R - {\frac{- 5}{2}} \to R$ be defined as $f (x) = \frac{2 x + 3}{2 x + 1}$ and $g (x) = \frac{∣ x ∣ + 1}{2 x + 5}$ . Then, the domain of…2024 · MCQ
If $f (x) = {2 + 2 x, 1 - \frac{x}{3}, - 1 \leq x < 0 0 \leq x \leq 3; g (x) = {- x, x, - 3 \leq x \leq 0 0 < x \leq 1$ , then range…2024 · MCQ
If the domain of the function $f (x) = cos^{- 1} (\frac{2 - ∣ x ∣}{4}) + {lo g_{e} (3 - x)}^{- 1}$ is $[- α, β) - {γ}$ , then $α + β + γ$ is equal to :2024 · MCQ
Let $A = {1, 2, 3, \dots, 7}$ and let $P (A)$ denote the power set of $A$ . If the number of functions $f : A \to P (A)$ such that $a \in f (a), \forall a \in A$ …2024 · Numerical
If the domain of the function $f (x) = lo g_{e} (\frac{2 x + 3}{4 x ^{2} + x - 3}) + cos^{- 1} (\frac{2 x - 1}{x + 2})$ is $5 β - 4 α$ , then the value of $5 β - 4 α$ is equal to2024 · MCQ
If $f (x) = \frac{4 x + 3}{6 x - 4}, x e q \frac{2}{3}$ and $(f \circ f) (x) = g (x)$ , where $g : R - {\frac{2}{3}} \to R - {\frac{2}{3}}$ , then $(g o g o g) (4)$ is equal to2024 · MCQ
Let $f (x) = 1 + sin^{2} x sin^{2} x sin^{2} x cos^{2} x 1 + cos^{2} x cos^{2} x sin 2 x sin 2 x 1 + sin 2 x, x \in [\frac{π}{6}, \frac{π}{3}]$ …2023 · MCQ
Let $f : R - 0, 1 \to R$ be a function such that $f (x) + f (\frac{1}{1 - x}) = 1 + x$ . Then $f (2)$ is equal to2023 · MCQ