Login
Remember
Register
Free Test Series
Q&A
Questions
Unanswered
Ask a Question
Ask a Question
Let \(A=\{x \in \mathbb{R}:-1 \leq x \leq 1\} \& f: A \rightarrow A\) be a mapping defined by \(f(x)=x|x|\). Then \(f\) is
0
votes
asked
Dec 10, 2021
in
Sets, relations and functions
by
kritika
(
90.1k
points)
Let \(A=\{x \in \mathbb{R}:-1 \leq x \leq 1\} \& f: A \rightarrow A\) be a mapping defined by \(f(x)=x|x|\). Then \(f\) is
(A) injective but not surjective
(B) surjective but not injective
(C) neither injective nor surjective
(D) bijective
Ans: (D)
Your answer
Your name to display (optional):
Email me at this address if my answer is selected or commented on:
Email me if my answer is selected or commented on
Privacy: Your email address will only be used for sending these notifications.
1
Answer
0
votes
answered
Sep 14, 2023
by
fear of god hoodie
A powerful share, I just given this onto a colleague who was doing a little analysis on this. And he in truth purchased me breakfast as a result of I found it for him.. smile. So let me reword that: Thnx for the deal with! But yeah Thnkx for spending the time to discuss this, I really feel strongly about it and love reading more on this topic. If attainable, as you turn out to be experience, would you mind updating your blog with extra particulars? It's highly useful for me. Massive thumb up for this weblog post!
fear of god hoodie
https://www.fearofgodoutlet.com
Your comment on this answer:
Your name to display (optional):
Email me at this address if a comment is added after mine:
Email me if a comment is added after mine
Privacy: Your email address will only be used for sending these notifications.
Related questions
0
votes
3
answers
If \(f: \mathbb{R} \rightarrow \mathbb{R}\) be defined by \(f(x)=e^{x}\) and \(g: \mathbb{R} \rightarrow \mathbb{R}\) be defined by \(g(x)=x^{2}\). The mapping \(g \circ f: \mathbb{R} \rightarrow \mathbb{R}\) be defined by \((g \circ f)(x)=g[f(x)] \forall x \in \mathbb{R}\), Then
asked
Dec 13, 2021
in
Sets, relations and functions
by
kritika
(
90.1k
points)
0
votes
2
answers
Let \(f: \mathbb{R} \rightarrow \mathbb{R}\) be defined by \(f(x)=x^{2}-\frac{x^{2}}{1+x^{2}}\) for all \(x \in \mathbb{R}\). Then
asked
Dec 11, 2021
in
Sets, relations and functions
by
kritika
(
90.1k
points)
0
votes
2
answers
Given that \(f: S \rightarrow R\) is said to have a fixed point at \(c\) of \(S\) if \(f(c)=c\). Let \(f:[1, \infty) \rightarrow R\) be defined by \(f(x)=1+\sqrt{x}\). Then
asked
Dec 10, 2021
in
Sets, relations and functions
by
kritika
(
90.1k
points)
0
votes
1
answer
Let \(f: D \rightarrow R\) where \(D=[0,1] \cup[2,4]\) be defined by \(f(x)=\left\{\begin{array}{l}x, \quad \text { if } x \in[0,1] \\ 4-x, \text { if } x \in[2,4]\end{array}\right.\). Then,
asked
Dec 9, 2021
in
Sets, relations and functions
by
kritika
(
90.1k
points)
0
votes
3
answers
If the function \(f: \mathbb{R} \rightarrow R\) is defined by \(f(x)=\left(x^{2}+1\right)^{35} \forall \in \mathbb{R}\), then \(f\) is
asked
Dec 8, 2021
in
Sets, relations and functions
by
deepak01
(
12.2k
points)
Welcome to Admisure, where you can ask questions and receive answers from other members of the community.
Categories
All categories
JEE
(1.3k)
Physics
(359)
Biology
(268)
Chemistry
(272)
Maths
(430)
Sets, relations and functions
(405)
Complex number and Quadratic equations
(1)
Matrices & determinants
(1)
Permutations and combinations
(11)
Mathematical induction
(1)
Binomial theorem
(1)
Sequences and series
(1)
Limit, continuity and differentiability
(1)
Integrals calculus
(1)
Differential equations
(1)
Co-ordinate geometry
(1)
Three-dimensional geometry
(1)
Vector algebra
(1)
Statistics and probability
(1)
Trigonometry
(1)
Mathematical reasoning
(1)
Statistics
(1)
Test
(139)
Statistics
(288)
Environmental Science
(1.2k)
Biotechnology
(135)
Social Science
(399)
Commerce
(222)
Electronics
(459)
Computer
(125)
Artificial Intelligence (AI)
(232)
Information Technology
(70)
Programming
(113)
Political Science
(82)
Home Science
(334)
Psychology
(138)
Sociology
(293)
English
(339)
Hindi
(34)
Aptitude
(21)
Reasoning
(11)
GK
(41)
Olympiad
(7)
Skill Tips
(14)
CBSE
(364)
...